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1 | Submission number | Title of the minisymposium | Organizer(s) name | Abstract | Industrial properties | Speakers Info | ||||||||||||||||||||
2 | 23 | Recent advances on application driven nonlinear optimization | Cong Sun | This minisymposium focuses on the new optimization techniques for application problems. Different application scenarios like machine learning and signal processing will be referred. | Scientific minisymposium | Zi Xu (Shanghai University) : A Unified Single-loop Alternating Gradient Projection Algorithm for Nonconvex-Concave and Convex-Nonconcave Minimax Problems | Qingna Li (Beiing Institute of Technology) : A Facial Reduction Approach to the Single Source Localization Problem | Cong Sun (Beijing University of Posts and Telecommunications) : On a special discrete phase constraied complex-field optimization problem | Wei Bian (Harbin Institute of Technology) : Accelerated algorithms for l_0 penalized nonsmooth convex regression problems | |||||||||||||||||
3 | 24 | Geometric methods in machine learning and data analysis | Leon Bungert, Jeff Calder | Geometry plays a paramount role in many aspects of data analysis and machine learning: Graphs on high-dimensional datasets encode interactions between geometry and data; Geometries on the space of probability measures give rise to new optimization and sampling algorithms; Geometric deep learning translates deep learning to new domains; Adversarial regularization of neural networks corresponds to geometric regularization. In this minisymposium we gather junior and senior researchers who have been driving the research in the field, using geometric methods for both analysis and algorithms. We aim at sparking new collaborations in this vibrant field and offering a platform for scientific exchange. | Scientific minisymposium | Soledad Villar (Johns Hopkins University) : Equivariant machine learning for classical physics | Djordje Nikolic (University of California, Santa Barbara) : Multispecies Optimal Transport and its Linearization | Luana Ruiz (University of Pennsylvania) : Learning by Transference in Large-Scale Graphs | Elsa Cazelles (CNRS at IRIT) : Optimal transport and beta distributions for data analysis | Melanie Weber (University of Oxford) : Geometric Representation Learning for Heterogeneous Data | Nadejda Drenska (Johns Hopkins University) : A PDE Interpretation of Prediction with Expert Advice | Dejan Slepcev (Carnegie Mellon University) : Gradient flow appropriates to sampling in high dimensions | Nicolas Keriven (CNRS at GIPSA) : Graph Neural Networks on Large Random Graphs: Convergence, Stability, Universality | Ron Levie (Technion - Israel Institute of Technology) : Generalization in graph neural networks on data sampled from geometric prototypes | Marco Caroccia (Politecnico di Milano) : Dirichlet Energy on Poisson point clouds | Jona Lelmi (University of Bonn) : Large data limit of the MBO scheme for data clustering | Minh Ha Quang (RIKEN Center for Advanced Intelligence Project) : A geometrical framework for Gaussian processes via information geometry and optimal transport | |||||||||
4 | 27 | Recent trends on crowd management | Katsuhito Nishinari, Claudio Feliciani, Kensuke Yasufuku ,Tetsuya Aiko | Crowd management is an interdisciplinary field that has received much attention in recent year, and various scientific methods for reducing the risk of crowd avalanches and infections are being studied. In addition, encouraging decentralized behavior not only enhances safety, but also improves services from marketing viewpoints. Latest research results on sensing, simulation and guidance of crowds, which are all very important in crowd management, will be discussed by applied mathematicians from different backgrounds. | Scientific minisymposium | Katsuhiro Nishinari (The University of Tokyo) : Cyber-Physical system of crowd management | Kensuke Yasufuku (Osaka University) : 3D Visualization of crowd motion | Tetsuya Aiko (Hokkaido University) : Psychological modelling and control of crowd | Claudio Feliciani (The University of Tokyo) : Sensing and nudge-based control of crowd | |||||||||||||||||
5 | 29 | New Trends in Structural and Engineering Optimization | Yoshihiro Kanno, Satoshi Kitayama, Akihiro Takezawa | Over a wide range of modern engineering design, numerical optimization plays crucial roles in diverse decision-making processes. This minisymposium aims to bring together recent advances in various aspects of structural and engineering optimization. The topics of interest include, but are not limited to - new advances in structural optimization methods, - surrogate modeling and digital twins for engineering optimization, - multi-scale and microstructral topology optimization, - machine learning and data-driven approaches to optimization. | Scientific minisymposium | Jaewook Lee (Gwangju Institute of Science and Technology) : Multiscale topology optimization of fiber reinforced composite structures | Takashi Yamamoto (Kogakuin University) : Multiscale topology optimization of sound-absorbing poroelastic media | Kazuo Yonekura (The University of Tokyo) : Design and optimize turbine airfoil by machine learning | Gil Ho Yoon (Hanyang University) : Transient topology optimization for fluid-structure interaction | Weisheng Zhang (Dalian University of Technology) : Structural genes inheritance topology optimization design via deep learning | Xiaopeng Zhang (Dalian University of Technology) : Acoustic metamaterial design with non-gradient material field expansion topology optimization | Satoshi Kitayama (Kanazawa University) : Process parameters optimization in plastic injection molding | Akihiro Takezawa (Waseda University) : Structural simulation and optimization to improve the quality of metal additive manufacturing | |||||||||||||
6 | 33 | Recent Advances on Quantitative Finance | Min Dai, Zuoquan Xu, Chao Zhou | The mini-symposium we propose aims to feature the latest developments and promote research in the field of quantitative finance. The mini-symposium will enhance interaction and cooperation among researchers worldwide working on some specific topics in the field. In particular, we will focus on, but are not limited to, the following three topics: • stochastic control in quantitative finance, • dynamic game and mean-field game in quantitative finance, and • machine learning and reinforcement learning in quantitative finance. Consequently, we plan to have three sessions on the above three topics, respectively | Scientific minisymposium | Nizar Touzi (Ecole Polytechnique) : To be announced | Mete Soner (Princeton University) : To be announced | Xin Guo (UC Berkeley) : To be announced | Martin Schweizer (ETH) : To be announced | Dylan Possamai (ETH) : To be announced | Johannes Muhle-Karbe (Imperial College) : To be announced | Min Dai (The Hong Kong Polytechnic University and National University of Singapore) : To be announced | Chao Zhou (National University of Singapore) : To be announced | Zuoquan Xu (The Hong Kong Polytechnic University) : To be announced | Steven Kou (Boston University) : To be announced | Ulrich Horst (Humboldt University) : To be announced | Paolo Guasoni (Dublin City University) : To be announced | |||||||||
7 | 36 | Different perspectives in non-linear and non-local PDEs | Antonio Esposito, David Gómez-Castro | The aim of this minisymposium is to gather researchers involved in the mathematical analysis of non-linear and non-local partial differential equations PDEsPDEs, with emphasis on those modelling aggregation and/or diffusion phenomena. These PDEs are relevant in applications to physics, biology, population dynamics, data science, etc. The spectrum of possible mathematical approaches involves techniques from functional analysis, optimal transport theory, variational methods, etc. It is at the core of our minisymposium to touch upon recent advances in the study of aggregation-diffusion PDEs obtained, e.g., using generalised gradient flows, incompressible limits, particle approximations, numerical methods, symmetrisation and rearrangements, and Fourier analysis. | Scientific minisymposium | José Alfredo Cañizo (University of Granada) : Asymptotic behavior of the nonlinear integrate-and-fire neuron model for large delays | Young-Pil Choi (Yonsei University) : Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces | Katy Craig (University of California, Santa Barbara) : A Blob Method for Diffusion and Applications to Sampling and Two Layer Neural Networks | Félix del Teso (University Autónoma de Madrid) : Evolution driven by the infinity fractional Laplacian | Matias Delgadino (University of Texas at Austin) : A mean field limit of Generative Adversarial Networks | Simone Fagioli (University of L'Aquila) : On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility | Alejandro Fernández-Jiménez (University of Oxford) : Concentration phenomena arising in Aggregation Fast-Diffusion equations | Rishabh Gvalani (Max-Planck-Institut für Mathematik in den Naturwissenschaften) : Subcritical and critical fluctuations for weakly interacting diffusions of McKean–Vlasov type | André Schlichting (WWU Münster) : Variational structure preserving finite volume schemes for advection-diffusion equations | Markus Schmidtchen (TU Dresden) : Incompressible Limits in Nonlinear and Nonlocal PDEs | Juan Luis Vázquez (University Autónoma de Madrid) : New directions in the analysis of local and nonlocal Nonlinear Diffusion | Bruno Volzone (University Parthenope Naples) : New results on nonlinear aggregation-diffusion equations with Riesz kernels | |||||||||
8 | 37 | Recent advances in modelling and simulation of interfacial flows | Mark Blyth, Anna Kalogirou, Alexander Wray | Interfacial flows arise in numerous natural and technological applications spanning a wide range of length scales from lab-on-a-chip systems to planetary-scale flows. From a purely scientific perspective, these flows pose fundamental theoretical, computational, and experimental challenges to explain complex phenomena including the formation of coherent structures and wave-breaking, as well as phase and topological transitions. Advances in understanding have opened the way for new schemes that allow for precision optimisation and control. This minisymposium will bring together an array of cross-disciplinary specialists, working at the cutting edge of the field, to share their expertise and to exchange ideas. | Scientific minisymposium | Alexander Wray (University of Strathclyde) : Interfacial flows and their modelling and control: an introduction to the session | Anna Kalogirou (University of Nottingham) : Nonlinear dynamics of unstably stratified two-layer shear flow in a channel | Te-Sheng Lin (National Yang Ming Chiao Tung University) : Machine learning to solve elliptic interface problems | Benoit Scheid (Universite Libre de Bruxelles) : Rivulet structuring and dripping transition in suspended falling liquid films | Mathieu Sellier (University of Canterbury) : Modelling and control of thin liquid films on curved surfaces | Christian Ruyer-Quil (Universite de Savoie Mont Blanc) : Recent developments of the modelling of falling liquid film flows | Doireann O'Kiely (University of Limerick) : Impact on a liquid surface with a floating elastic sheet | Philip Gaskell (Durham University) : New perspectives on continuous film flow over nonplanar substrate: a family affair | |||||||||||||
9 | 38 | Frontiers of gradient flows: well-posedness, asymptotics, singular limits | Yoshikazu Giga, Michal Lasica, Piotr Rybka | Gradient flows, a type of dynamics where systems follow steepest descent paths of various functionals, are ubiquitous in many areas of science and technology. Their mathematical understanding is still developing. Ideas like evolutionary variational inequalities, notions of slope, or very weak definitions originating from dynamical systems allow for far-reaching generalizations. Nonetheless, obstacles such as lack of convexity, non-trivial weights, or complicated geometric settings still cause difficulties. We would like to gather experts within the broad limits we stated, dealing with well-posedness and properties of gradient flows in non-classical cases, as well as singular limits or asymptotics. | Scientific minisymposium | Anna Dall'Acqua (Ulm University) : Elastic flow with modulates stiffness: long time behavior | Baisheng Yan (Michigan State University) : Counterexamples for gradient flows of polyconvex functionals | Glen Wheeler (University of Wollongong) : Sobolev gradient flows for length | Jose Mazon (University of Valencia) : The Cheeger Cut and Cheeger Problem in Metric Measure Spaces | Masashi Misawa (Kumamoto University) : Global existence for the p-Sobolev flow | Paola Pozzi (University of Duisburg-Essen) : On anisotropic curvature flow of immersed networks | Shinya Okabe (Tohoku University) : Convergence of Sobolev gradient trajectories to elastica | Yuan Gao (Purdue University) : On the thermodynamic limit, gradient flow and large deviations for chemical reactions | |||||||||||||
10 | 47 | Combining Machine Learning and Stochastic Methods for Modeling and Forecasting Complex Systems | Nan Chen, Di Qi | Complex Systems are ubiquitous in different areas. Recent development of advanced machine learning tools and new stochastic modeling strategies introduce new insights and approaches of advancing the study of complex systems. This minisymposium aims at combining data-driven and physics-based methods to improve the current understanding, modeling and forecasting methods of various complex systems containing different features. Topics of this minisymposium include, but are not limited to, physics-driven machine learning techniques, efficient stochastic multiscale modeling approaches, data assimilation, uncertainty quantification, inverse problems, statistical control, surrogate and reduced order models as well as efficient forecast algorithms. | Scientific minisymposium | Georg Gottwald (University of Sydney) : Generative modelling through diffusion maps | Andrea Bertozzi (UCLA) : Graph based models for active learning | Dimitrios Giannakis (Dartmouth College) : Operator-theoretic approaches for data assimilation and reduced-order modeling of dynamical systems | Hannah Christensen (University of Oxford) : Machine Learning for Stochastic Parametrisation | Elizabeth Barnes (Colorado State University) : Explainable AI to detect predict and discover climate variability and change | Fei Lu (Johns Hopkins University) : Shock trace prediction by reduced models for a viscous stochastic Burgers equation | Themistoklis Sapsis (MIT) : Active learning methods for extreme event statistics | Pedram Hassanzadeh (Rice University) : Long-term stable digits twins using spectral, stochastic neural networks | Eviatar Bach (Caltech) : A multi-model ensemble Kalman filter for data assimilation and forecasting, with applications for combining physical and data-driven forecasts | Matthew Levine (Caltech) : A Framework for Machine Learning of Model Error in Dynamical Systems | John Wettlaufer (Yale University) : to be added | ||||||||||
11 | 48 | Interfaces between kinetic equations and many-agent social systems. Part I | Giacomo Dimarco, Young-Pil Choi | In recent years, kinetic-type models emerged to be a powerful mathematical framework for the description of emerging patterns in systems composed by a large number of agents. Furthermore, the natural multiscale nature of these equations, linking microscopic unobservable social forces to macroscopic measurable patterns, permits an efficient investigation of collective phenomena in a heterogeneity of disciplines, like biology, social sciences and robotics. In this minisymposium we collect novel perspectives from experts actively working on these research problems. | Scientific minisymposium | Andrea Tosin (Politecnico di Torino) : Methods of kinetic theory in mathematical epidemiology | Michael Herty (RWTH Aachen University) : Multi-Scale Control of Interacting Agents via Stackelberg Games | Elisa Iacomini (RWTH Aachen University) : Uncertainty quantification in hierarchical vehicular traffic models | Bertram Düring (University of Warwick) : Kinetic models for opinion formation | Antonio Esposito (University of Oxford) : On the analysis of integro-differential models for active Brownian particles | Rafael Bailo (University of Oxford) : TBA | Nadia Loy (Politecnico di Torino) : General kinetic models with transition probabilities for systems of interacting agents | Susana Gomes (University of Warwick) : Parameter estimation for macroscopic pedestrian dynamics models using microscopic data | |||||||||||||
12 | 49 | Interfaces between kinetic equations and many-agent social systems. Part II | Giacomo Dimarco, Young-Pil Choi, Mattia Zanella | In recent years, kinetic-type models emerged to be a powerful mathematical framework for the description of emerging patterns in systems composed by a large number of agents. Furthermore, the natural multiscale nature of these equations, linking microscopic unobservable social forces to macroscopic measurable patterns, permits an efficient investigation of collective phenomena in a heterogeneity of disciplines, like biology, social sciences and robotics. In this minisymposium we collect novel perspectives from experts actively working on these research problems. | Scientific minisymposium | Jingwei Hu (University of Washington) : Stochastic particle method for the Landau equation | Seung-Yeal Ha (Seoul National University) : A dynamical system approach for the tracing of target configuration on Riemannian manifolds | Roman Shyvdkoy (University of Illinois at Chicago) : Global hypocoercivity of kinetic models of collective behavior | Oliver Tse (Eindhoven University of Technology) : Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces | Changhui Tan (University of South Carolina) : Sticky particle Cucker-Smale dynamics and the entropy selection principle to the Euler-alignment system | Jeongho Kim (Korea Institute for Advanced Study) : Rigorous derivation of the Euler-Alignment model with singular communication weights from a kinetic Fokker-Planck-Alignment model | Jinwook Jung (Seoul National University) : On the solvability of Vlasov-alignment model with singular interaction kernel | Ruiwen Shu (University of Oxford) : Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies | |||||||||||||
13 | 52 | Efficient numerical methods for high-dimensional PDEs | Lukas Einkemmer, Jingwei Hu | Many problems in science and engineering are described by high-dimensional PDEs. Over the years, different numerical techniques have been developed for these problems, including low rank method, sparse grid, tensor method, reduced order modeling, machine learning, optimization, and quantum algorithms, to name a few. In this minisymposium, we bring researchers from a wide spectrum of application areas, such as plasma physics, quantum dynamics, biology, etc. to address the common theme of solving high-dimensional PDEs and exchange ideas. | Scientific minisymposium | Christian Lubich (University of Tübingen) : Time integration of tree tensor networks in quantum dynamics | Lee Ricketson (Lawrence Livermore National Laboratory) : Sparse grid methods in kinetic plasma simulation | Will Taitano (Air Force Research Laboratory) : An implicit and positivity preserving scheme for the hyperbolized Rosenbluth-Fokker-Planck equation | Jiequn Han (Flatiron Institute) : Developing reduced-order PDEs with machine learning-based closure models | Levon Nurbekyan (University of California, Los Angeles) : Efficient natural gradient method for large-scale optimization problems | Martina Prugger (University of Innsbruck) : Tackling the curse of dimensionality of signaling networks using a dynamical low rank approach | llon Joseph (Lawrence Livermore National Laboratory) : Quantum algorithms for accelerating the solution of partial differential equations | Benjamin Peherstorfer (New York University) : Adaptive sampling for numerically solving high-dimensional evolution equations with nonlinear parametrizations | |||||||||||||
14 | 57 | Many-agent systems and mean-field models for socio-economic and life sciences dynamics | Marie-Therese Wolfram, Bertram Düring | Complex, real-life systems in sociology, economics, and life sciences often consist of a large number of individuals. Through interactions among these individuals a collective behaviour may emerge over time and certain patterns may develop. Examples include pedestrian, evacuation and traffic models, opinion formation, wealth distribution, chemotaxis and flocking/swarming. The aim of the mini-symposium is to highlight recent advances in modelling, analysis, numerics and optimal control of kinetic and PDE models in this area. | Scientific minisymposium | Martin Burger (Friedrich-Alexander-Universität Erlangen-Nürnberg) : Macroscopic models for processes on coevolving networks | Lisa Maria Kreusser (University of Bath) : Interacting agent models for information propagation | Chiara Segala (RWTH Universität Aachen) : Optimized leaders strategies for crowd evacuation in unknown environments with multiple exits | Giacomo Dimarco (Universita di Ferrara) : Multi agent description of the influence of higher education in social stratification | Mattia Zanella (University of Pavia) : Uncertainty quantification for many-particle systems | Heather Zinn Brooks (Harvey Mudd College) : Mean-field models of bounded-confidence opinion dynamics with zealots | Giulia Bertaglia (Universita di Ferrara) : Asymptotic preserving neural networks for kinetic equations in socio-epidemics | Giacomo Albi (Universita di Verona) : Supervised learning for kinetic and mean-field control | |||||||||||||
15 | 59 | Numerical solutions for differential equations: Probabilistic approaches and statistical perspectives | Han Cheng Lie, Takeru Matsuda, Yuto Miyatake | Many applications involve predicting the dynamics of a system by solving differential equations. Due to the increased demand for predictive power of these models, numerically solving a differential equation is now often combined with parameter estimation or uncertainty quantification. This paradigm shift drives the need for probabilistic approaches that are compatible with statistical inference, or that improve the robustness of inference to possibly inaccurate mathematical models. The talks in this minisymposium will present recent work that addresses these challenges for deterministic ODEs and PDEs, by using ideas from numerical analysis, probability theory, and Bayesian statistical inference. | Scientific minisymposium | Oksana Chkrebtii (The Ohio State University) : Prior models for enforcing boundary constraints in state-space probabilistic PDE solvers | Connor Duffin (The University of Cambridge) : Low rank statistical finite elements for scalable model-data synthesis | Toni Karvonen (The University of Helsinki) : Posterior error estimates for statistical finite element methods with Sobolev priors | Chris Oates (Newcastle University) : Are probabilistic integrators for differential equations calibrated? | Yanni Papandreou (Imperial College London) : Theoretical guarantees for the statistical finite element method | Tim Sullivan (The University of Warwick) : Probabilistic numerics for time-parallel ODE solvers | Onur Teymur (The University of Kent) : Black box probabilistic numerics | Yue Wu (University of Strathclyde) : Approximating the solutions of delay differential equations via the randomized Euler method | |||||||||||||
16 | 60 | Mathematical approaches to collective phenomena | Ryosuke Yano | The contributions of the mathematics to understanding of collective phenomena such as the fluid dynamics are certainly conspicuous. In particular, developments of the numerical method to solve PDE, PDE analysis of the hydrodynamic equation or Boltzmann equation by applied mathematicians are quite significant in the industry. This minisymposium invites four eminent researchers, who study various types of collective phenomena such as the gas dynamics, biological swarming, electrically charged fluids and so on. Their presentations will indicate new insights and inspirations in the future applied mathematics. | Industrial minisymposium (IMA-5, EA-12) | Aleksandar Donev (Courant Institute, New York University) : Modeling electrohydrodynamics using Brownian HydroDynamics | Jan Haskovec ( King Abdullah University of Science and Technology, Thuwal, KSA) : Delay Models of Collective Behavior with Biological and Industrial Applications | Liu Liu (The Chinese University of Hong Kong) : Multifidelity methods for multi-scale kinetic models with uncertainties | Manuel Torrilhon (RWTH Aachen University) : Model Cascades for Rarefied Gas Dynamics | |||||||||||||||||
17 | 61 | Reaction-Diffusion models in Ecology and Evolution | King-Yeung Lam, Yuan Lou, Dongyuan Xiao, Maolin Zhou | Reaction-diffusion equations have been a powerful tool in studying population dynamics since the seminal works of Fisher, Kolmogorov-Petrovsky-Piskunov, Turing, and many others. In recent years many important questions from ecology, such as habitat fragmentation and shifting environment change, and life sciences, such as tumor growth, required new mathematical models and gave rise to challenging problems in analysis. This mini-symposium aims to showcase some recent development in the theory of reaction-diffusion equations and its applications to some emerging ecological and evolutionary questions. | Scientific minisymposium | Dongyuan XIAO (Meiji University) : Lotka-Volterra competition-diffusion system: the critical competition case | Yuan LOU (Shanghai Jiao Tong University) : Principal eigenvalue and basic reproduction number | Maolin ZHOU (Nankai University) : Principal eigenvalue problem with large advection in 2 dimensional case | Idriss MAZARI (Paris Dauphine Université) : From optimal control to game theoretical problems in population dynamics | Chiun-Chuan CHEN (National Taiwan University) : Non-monotone traveling wave solutions of the Lotka-Volterra competition system of 3-species | King-Yeung LAM (The Ohio State University) : Front Propagation in the Shadow Wave-Pinning Model | Ryunosuke MORI (Meiji University) : Free boundary problem for the curve shortening flow with driving force in undulating cylindrical domains | Thomas GILETTI (University of Lorraine) : Propagation in a shifting environment | |||||||||||||
18 | 62 | Analysis and computation of vortical flows | Sun-Chul Kim, Robert Krasny, Sung-Ik Sohn | Vortex dynamics is a classical but ever active topic in the study of fluid flows. Despite huge efforts to understand vortex phenomena, many aspects are still not properly understood. In this minisymposium, Elling and Jeong are presenting mathematical and rigorous results of self-similar vortices. Xu will describe computations of elliptical vortices. Kim and Krishnamurthy will discuss point vortex dynamics and generalized geostrophic models. Nitsche and Sohn speak on computational issues for interfacial flows and application to swimming. Krasny will present computations of plasma vortices in the Vlasov-Poisson equation. | Scientific minisymposium | Volker Elling (Academia Sinica) : Self-similar vortical flows | In-Jee Jeong (Seoul National University) : Logarithmic vortex spirals | Sun-Chul Kim (Chung-Ang University, Seoul, Korea (Republic of)) : Motion of three geostrophic vortices | Robert Krasny (University of Michigan) : The FARSIGHT Vlasov-Poisson code | Vikas Krishnamurthy (IIT Hyderabad) : The N-vortex problem in doubly-periodic domains with background vorticity | Monika Nitsche (University of New Mexico) : Near-singular integrals in 3D interfacial Stokes and potential flows | Sung-Ik Sohn (Gangneung-Wonju National University) : Swimming of a fish-like body | Ling Xu (North Carolina Agricultural and Mechanical State University) : Dynamics of elliptical vortices | |||||||||||||
19 | 63 | Recent Advances on Nonlocal Interaction Models | Razvan Fetecau, Ihsan Topaloglu | From biological swarming and n-body dynamics to self-assembly of nanoparticles, crystallization and granular media, many physical and biological systems are described by mathematical models involving nonlocal interactions. Mostly due to their purely nonlocal character, these models present mathematical challenges that require a combination of different techniques of applied mathematics. With this scientific session we aim to bring together young researchers and leading scholars who study nonlocal interaction models and their applications. In particular, we hope that by inviting applied and pure analysts we will create a platform that will lead to a more complete and reliable understanding of these models. | Scientific minisymposium | Razvan C Fetecau (Simon Fraser University, Canada) : Well-posedness and asymptotic behaviour of an interaction model on Riemannian manifolds | Ihsan Topaloglu (Virginia Commonwealth University) : Stability of the ball for attractive-repulsive energies | Maco Di Francesco (University of L'Aquila) : Deterministic particle approximation for a nonlocal interaction equation with repulsive singular potential | Theodore Kolokolnikov ( Dalhousie University) : Many-spike limits of reaction-diffusion systems of PDEs | Raluca Eftimie (University of Franche-Comté) : Pattern formation in a class of deterministic and stochastic nonlocal hyperbolic models for self-organised biological aggregations | Klemens Fellner (University of Graz) : On the oscillatory behaviour of a nonlinear Becker-Döring model for prions and an associated nonlocal problem | Robert McCann (University of Toronto) : Pattern formation in particle systems: from spherical shells to regular simplices | Hansol Park (Simon Fraser University) : The Watanabe-Strogatz transform and constant of motion functionals for kinetic vector models | Hui Huang (University of Graz) : Zero-Inertia Limit: from Particle Swarm Optimization to Consensus-Based Optimization | Annalisa Cesaroni (University of Padova) : Mean field games with aggregating interaction potentials of nonlocal type | Lia Bronsard (McMaster University) : Patterns in tri-block copolymers: droplets, double-bubbles and core-shells | Andrew Bernoff (Harvey Mudd College) : TBA | |||||||||
20 | 65 | Recent Advances on Stochastic Hamiltonian Dynamical Systems | Pingyuan Wei, Qiao Huang | The generalization of classical geometric mechanics (( including the study of symmetries, Hamiltonian mechanics and Lagrangian, and the Hamilton-Jacobi theory, etc.)) to the context of stochastic dynamics has drawn more and more attention in recent decades. One of the important motivations behind some pieces of work related to this field is establishing a framework adapted to the handling of mechanical systems subjected to random perturbations or whose parameters are not precisely determined and are hence modeled as realizations of a random variable. This minisymposium will bring together speakers with diverse but related background, discussing recent developments on general topics of stochastic dynamical systems with Hamiltonian or other geometric structure. | Scientific minisymposium | Pingyuan Wei (Beijing International Center for Mathematical Research, Peking University) : Dynamics of Stochastic Hamiltonian Systems on Jacobi Manifold | Qiao Huang (University of Lisbon) : From Second-order Differential Geometry to Stochastic Geometric Mechanics | Wei Wei (Huazhong University of Science and Technology) : An Optimal Control Method to Compute the Most Likely Transition Path for Stochastic Dynamical Systems with Jumps | Ying Chao (Xi’an Jiaotong University) : Parametric Resonance for Enhancing the Rate of Metastable Transition | Jianyu Hu (Nanyang Technological University) : Onsager-Machlup action functional for stochastic partial differential equations with Levy noise | ||||||||||||||||
21 | 68 | Models for collective behavior and emergent phenomena | Lisa Kreusser, Jan Haskovec | Emergent structures are patterns arising via collective actions of many individual entities. In the context of life sciences, they range from the subatomic level to the entire anthropo- and biosphere. The main objective of this minisymposium is to bring together experts working in diverse areas of modeling of collective behavior and emergent phenomena, employing ordinary, stochastic, partial and functional differential equations. Applications include self-organizing systems of interacting agents, flocking and swarming, pedestrian dynamics, and network dynamics. The minisymposium will cover mathematical modeling, analytical and numerical results, focusing on applications and gaining new insights into the principles of emergence and self-organization. | Scientific minisymposium | Sara Merino-Aceituno (University of Vienna) : Macroscopic behavior for systems with nematic alignment | Jan-Frederik Pietschmann (University of Chemnitz) : TBC | Angelika Manhart (University College London) : Aggregation without attraction - how interactions with the environment influence pattern formation | Dietmar Oelz (University of Queensland) : Contraction and pattern formation in actomyosin networks | Anna Zhigun (Queen's University Belfast) : Cell migration in fibrous environments: a multiscale approach | Hong Duong (University of Birmingham) : Collective behaviour and model reduction of some SDEs and PDEs | Simone Portaro (KAUST) : Emergence of biological transportation networks as a self-regulated process | Pranav Singh (University of Bath) : TBC | Jonas Latz (Heriot-Watt University) : Piecewise-deterministic particle systems with applications in data science | ||||||||||||
22 | 72 | Evolution equations in materials science: Multiscale modeling, analysis, and simulation | Toyohiko Aiki, Adrian Muntean | Materials science has become increasingly efficient and contributes with new products. The increased material functionality relies on good experimental grip on microstructure evolution. Mathematics plays a crucial role in using experimental understanding to shed light where experiments are inaccessible. Mathematical challenges are though unsolved. Elastic porous materials have many practical applications, however the mathematical treatment of elasticity equations for realistic media is underdeveloped as the small-strains-hypothesis needs to be adopted while the porosity of real materials e.g.whenbiologyisinvolvede.g.whenbiologyisinvolved disagrees. Our symposium focuses on the development of advanced mathematical methodologies applicable to materials having complex microstructures. | Scientific minisymposium | Adrian Muntean (Karlstad University) : Phase separation in ternary mixtures with the evaporation of one component via interacting-particles systems and PDE-based models: Numerical simulation and mathematical analysis | Chiharu Kosugi (Japan Women's University) : Solvability of a PDE model of representing motions of the elastic curve | Akiko Morimura (Japan Women's University) : Partial differential equations for moisture transport in porous materials | Kota Kumazaki (Nagasaki University) : On a multiscale model describing swelling in porous materials | Yusuke Murasee (Meijo University) : Numerical simulations and analysis for mathematical modeling of adsorption phenomena | Yoshiho Akagawa (National Institute of Technology Gifu College) : An elastoplastic model with a time-dependent threshold function | Grigor Nika (Karlstad University) : Improved corrector regularity in homogenization with non-smooth coefficients | Michael Eden (Karlstad University) : Effective hydromechanic models for fibre-reinforced hydrogels | |||||||||||||
23 | 82 | Development in fractional diffusion equations: models and methods | Sabrina Roscani, Piotr Rybka | The mathematical study of diffusion and its applications has played an important role in modern mathematics. The study of fractional diffusion has become a new trend as a mathematical framework to describe anomalous diffusion. Indeed, in the real world anomalous diffusion is common. We wish to present the last and novel techniques regarding modeling with FDE and its mathematical analysis. In particular we are interested in modeling with the help of FDE, the resulting IBV problems, including free boundary problems. We also pursue the study of the qualitative properties of solutions including self-similar and fundamental solutions. | Scientific minisymposium | Vaughan Voller (The University of Minnesota) : Approximate solution methods for time fractional Stefan problems. | Łukasz Płociniczak (Wrocław University of Science and Technology) : Numerical methods for nonlocal and nonlinear diffusion: theory and applications | Gianni Pagnini ( Basque Center for Applied Mathematics) : Fractional diffusion as an intermediate asymptotic regime | Sabrina Roscani (CONICET - Universidad Austral) : On different formulations for time-fractional Stefan problems | Masahiro Yamamoto (The University of Tokyo) : Uniqueness for inverse source problems for time-fractional diffusion-wave equations | Serena Dipierro (The University of Western Australia) : Nonlocal minimal surfaces | Katarzyna Ryszewska (Warsaw University of Technology) : Holder continuity of weak solutions to parabolic-type problems with distributed order time-fractional derivative | Petra Wittbold (University of Duisburg) : Weak and entropy solutions of time-fractional porous medium type equations | |||||||||||||
24 | 84 | Asymptotic approaches to multi-scale PDEs in mathematical physics | Tomasz Dębiec, Agnieszka Świerczewska-Gwiazda | Nonlinear PDEs play an important role in modelling many important phenomena observed in physics. One of the main challenges is that the physical problem at hand usually manifests its properties on a hierarchy of scales: the behaviour of the system at the large scale can only be understood by accessing a number of finer scales. Discovering the numerous scales in the governing equations and describing the singularities which appear in asymptotic processes give rise to exciting and difficult research problems e.g.singularlimitsinfluidmechanics,macroscopicclosuresofkineticmodels,orincompressiblelimitsfortissuegrowthmodelse.g.singularlimitsinfluidmechanics,macroscopicclosuresofkineticmodels,orincompressiblelimitsfortissuegrowthmodels. | Scientific minisymposium | Piotr Gwiazda (Polish Academy of Sciences) : High friction limits of gas dynamics to diffusion theories in the framework of dissipative measure-valued solutions | Noemi David (Sorbonne Université) : Free boundary limit and rate of convergence for tumour growth models with a drift | Emil Wiedemann (Ulm University) : Probabilistic descriptions of turbulent flows | Athanasios Tzavaras (KAUST) : Existence theory for Maxwell-Stefan Cahn-Hilliard multi-component systems | Piotr Mucha (University of Warsaw) : A new construction to the compressible Navier-Stokes equations | Didier Bresch (Université Savoie Mont-Blanc) : TBA | Eric Lars Hientzsch (University of Bielefeld) : On the dynamics of point vortices for the degenerate lake equations | Slim Ibrahim (University of Victoria) : TBA | |||||||||||||
25 | 85 | Singular Problems in Mechanics | Victor Kovtunenko, Hiromichi Itou, Alexander Khludnev, Evgeny Rudoy | The problem area addresses non-smooth problems stemming from mechanics and described by partial differential equations, inverse and ill-posed problems, non-smooth and nonconvex optimization, optimal control problems, multiscale analysis and homogenization, shape and topology optimization. We focus but are not limited to singularities like cracks, inclusions, aerofoils, defects and inhomogeneities arising in composite structures and multi-phase continua, which are governed by systems of variational equations and inequalities. The minisymposium objectives are directed toward sharing advances attained in the mathematical theory, numerical methods, and application of non-smooth problems. | Scientific minisymposium | Goro Akagi (Tohoku University) : Evolution equations with complete irreversibility and energy-conservation | Sayahdin Alfat (Halu Oleo University) : A phase field model for the desiccation cracking | Alemdar Hasanov-Hasanoglu (Izmir University) : Determination of an unknown shear force in cantilever Kirchhoff-Love plate from measured final data with application to Atomic Force Microscope | Hiromichi Itou (Tokyo University of Science) : Mathematical analysis for fault rupture models | Takahito Kashiwabara (The University of Tokyo) : H^2-regularity for the non-stationary Navier-Stokes equations under leak or slip boundary condition of friction type | Alexander Khludnev (Novosibirsk State University) : On Kirchhoff-Love plates with thin elastic junction | Masato Kimura (Kanazawa University) : Some topics on irreversible fracturing phase field model | Victor Kovtunenko (University of Graz) : Asymptotic series solution of variational Stokes problems in planar domain with crack-like singularity | Nyurgun Lazarev (North-Eastern Federal University in Yakutsk) : Equilibrium problem for a thermoelastic Kirchhoff-Love plate with a delaminated flat rigid inclusion | Hayk Mikaelyan (University of Nottingham Ningbo) : Regularity of the Mumford-Shah minimizers at the crack-tip: results in 2D and open problems in 3D | Evgeny Rudoy (Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences) : Asymptotic modeling of curvilinear thing inclusions with rough boundaries in elastic bodies: case of a soft inclusion | Sergey Sazhenkov (Altai State University) : An impulsive pseudoparabolic equation with an infinitesimal transition layer | |||||||||
26 | 86 | Recent advances in the theory of rogue waves: stability and universality of wave pattern formation | Bao-Feng Feng; Peter Miller | In the last decade, there have been some new developments in the study of rogue-waves of nonlinear integrable evolutionary equations, such as their long-time asymptotics, their stability, their universal patterns, and their onset mechanisms. This minisymposium aims to bring together a group of world-leading researchers to discuss the theoretical, computational, and experimental aspects of this type of extreme wave phenomena. | Scientific minisymposium | Peter Miller (University of Michigan) : Rogue waves of infinite order and their properties | Baofeng Feng (University of Texas Rio Grande Valley ) : Rogue waves in coupled continuous and discrete systems | Yasuhiro Ohta (Kobe University) : Determinant formula for Rogue waves and the binomial theorem | Jianke Yang (University of Vermont) : Rogue Wave Patterns | Dmitry Pelinovsky (McMaster University) : Traveling periodic waves in discrete modified KdV equation | Jingsong He (Shenzhen University) : The resonant patterns in breather collision for two-dimensional integrable models | Zhenyun Qin (Fudan University) : General rational solutions in the Sasa-Satsuma equation | Junchao Chen (Lishui University) : Rogue waves in massive Thirring model | Deniz Bilman (University of Cincinati ) : Universal Wave Patterns in Rogue Wave Formation | Bing-Ying Lu (University of Bremen) : Universality and rogue waves in sine-Gordon equation | Xiaoen Zhang (South China University of Technology) : Large order breathers of the nonlinear Schrodinger equation | Derchyi Wu (Institute of Mathematics, Acamedia Sinica) : Darboux transformation for the Kadomtsev-Petviashvili II equation | |||||||||
27 | 88 | Machine learning in infinite dimensions | Bamdad Hosseini, Yury Korolev, Jonas Latz | Lifting high-dimensional problems to an infinite-dimensional space and designing algorithms in that setting has been a fruitful idea in many areas of applied mathematics, including inverse problems, optimisation, and partial differential equations. This approach is sometimes referred to as ''optimise-then-discretise'' and allows one to develop algorithms that are inherently dimension- and discretisation-independent and typically perform better in high-dimensional problems. In the context of machine learning, this approach has gained significant attention in the context of operator learning. This workshop explores approaches that involve the approximation of functions with values in an infinite-dimensional space and their connections to partial differential equations. | Scientific minisymposium | Houman Owhadi (California Institute of Technology) : Operator learning with adapted kernels | Elizabeth Qian (Georgia Institute of Technology) : Operator learning with neural networks | Ding-Xuan Zhou (University of Sydney) : Approximation by structured deep neural networks | Lei Wu (Peking University) : A dual analysis of random feature and neural network models | Nick Dexter (Florida State University) : Learning near-best polynomial and neural network approximations to high-dimensional, Hilbert- and Banach-valued functions from limited data | Pau Batlle Franch (California Institute of Technology) : Lifting the curse of dimensionality in nonlinear operator learning with operator adapted GPs and wavelets | Emilia Magnani (University of Tübingen) : Bayesian learning of PDE's solution operators | Lénaïc Chizat (École polytechnique fédérale de Lausanne) : Min-relative entropy estimator for trajectory inference | Tamara Grossmann (University of Cambridge) : Unsupervised Learning of the Total Variation Flow | Lu Lu (University of Pennsylvania) : eliable learning of deep neural operators informed by physics or sparse observations for safe extrapolation | Anna Korba (École nationale de la statistique et de l'administration économique Paris) : Mirror Descent with Relative Smoothness in Measure Spaces, with application to Sinkhorn and EM | Franca Hoffmann (University of Bonn) : Covariance-weighted optimal transport | |||||||||
28 | 90 | Recent advances in the theory of rogue waves: one- and multi-component models in 1+1 and 2+1 dimensions | Prof Sara Lombardo (Heriot-Watt University, UK), Dr Matteo Sommacal (Northumbria University, UK) | Recent advances in the theory of nonlinear waves have allowed a better understanding of the underlying mechanisms leading to the formation of space-time localised extreme waves, often referred in the literature as rogue waves, in systems modelled by nonlinear PDEs of integrable and non-integrable type. Many theoretical questions remain open as for a qualitative and quantitative description of the evolution of a localised or periodic perturbation on a given background. The aim of this minisymposium is to gather world-leading experts in the field to discuss the most recent results about the onset and recurrence of rogue waves in nonlinear media. | Scientific minisymposium | Annalisa Calini (College of Charleston) : Stability and downshifting of rogue waves in the presence of viscous effects | Marcos Caso-Huerta (Northumbria University) : Rogue waves of the Yajima-Oikawa-Newell long wave-short wave system | Amin Chabchoub (Kyoto University) : Extreme waves in the presence of wave reflection | Piotr Grinevich (Landau Institute) : Finite-gap approach to the theory of rogue waves | Theodoros Horikis (University of Ioannina) : Rogue waves in NLS variants | Priscila Leal da Silva (Loughborough University) : Stability spectrum of integrable equations and the onset of rogue waves | Sara Lombardo (Heriot-Watt University) : Integrability and wave instabilities: an algebraic-geometric approach | Miguel Onorato (University of Turin) : Observation of giant nonlinear wave‑packets on the surface of the ocean | Paolo M. Santini (University of Rome "La Sapienza") : Rogue waves in 2+1 dimensions | Constance Schober (University of Central Florida) : Nonlinear damped spatially periodic breathers and the emergence of soliton like rogue waves | Matteo Sommacal (Northumbria University) : Integrability, instabilities, and the onset of rogue waves | Otis Wright (Cedarville University) : Maximal Amplitudes of a Modified Nonlinear Schrödinger Equation | |||||||||
29 | 107 | Randomized numerical linear algebra | Ethan Epperly, Per-Gunnar Martinsson, Yuji Nakatsukasa, Robert Webber | Randomized numerical linear algebra RNLARNLA is an emerging field of computational mathematics that has enabled matrix computations of unprecedented scale. Given the increasing size of data sets, RNLA is often the only way to reasonably perform computations. In addition to speed, RNLA often provides solutions with exceptional accuracy and robustness. Success stories in RNLA include low-rank approximation, least-squares problems, and trace estimation. In addition, the field has witnessed recent progress in linear systems, eigenvalue problems, and tensor approximation. This minisymposium aims to bring together researchers working in RNLA to present recent progress, discuss challenges, and share ideas. | Scientific minisymposium | Nicolas Boullé (University of Oxford) : Learning Green's functions with randomized numerical linear algebra | Tyler Chen (New York University) : Quantum typicality and stochastic trace estimation | Jocelyn Chi (University of California, Los Angeles) : Sketched Gaussian model linear discriminant analysis via randomized Kaczmarz | Ethan Epperly (California Institute of Technology) : How and why to uncompute the randomized SVD: New approaches to trace and error estimation | Zachary Frangella (Stanford University) : Nyström approximation | Eric Hallman (North Carolina State University) : A cluster+gap framework for studying randomized subspace iteration | Joe Kileel (University of Texas at Austin) : Implicit and randomized methods for efficient tensor decompositions | Maike Meier (University of Oxford) : Sketch-to-precondition: (In)stabilities and randomized algorithms for Tikhonov and QR | Riley Murray (University of California, Berkeley) : Bringing randomized algorithms to mainstream linear algebra libraries | Taejun Park (University of Oxford) : Randomized low-rank approximation for symmetric indefinite matrices | Katherine Pearce (University of Texas at Austin) : Error estimation in randomized algorithms for computing rank-revealing factorizations | Robert Webber (California Institute of Technology) : Randomized low-rank approximation: Where we've been and where we're going | |||||||||
30 | 108 | Recent Advances on Kinetic and Related Equations | Jin-Cheng Jiang, Satoshi Taguchi, Hai-Tao Wang, Seok-Bae Yun | Kinetic theory has been expanding its frontier and emerged as promising in various fields of engineering and science. At the same time, it has been a source of unsolved mathematical problems at fundamental levels, which are still actively studied. This mini-symposium aims at bringing in international experts on mathematical analysis, modeling, and computation of kinetic theory and related topics, in order to present the field’s state-of-the-art results and foster future academic exchanges and collaborations among researchers from different sub-fields. We propose three sessions which include 12 speakers from different generations of the field and 2 leading experts as chairpersons who can enhance the communication of the groups. | Scientific minisymposium | I-Kun Chen (National Taiwan University) : On the existence and regularity for the stationary linearized Boltzmann equation in a small domain | Ling-Bing He (Tsinghua University) : Non-cutoff Boltzmann equation with soft potentials: well-posedness, dynamics and regularity | Jin-Woo Jang (Pohang University of Science and Technology) : Vanishing angular singularity limit of the Boltzmann equation without angular cutoff | Doheon Kim (Hanyang University) : Convergence of first-order consensus-based global optimization algorithms | Hung-Wen Kuo (National Cheng Kung University) : Construction of the Green’s function for the initial boundary value problem | Donghyun Lee (Pohang University of Science and Technology) : H\"{o}lder regularity of the Boltzmann equation past an obstacle | Hai-Liang Li (Capital Normal University) : Green's functions and pointwise behaviors of Vlasov-Maxwell(Poisson)-Boltzmann equations | Shota Sakamoto (Tokyo Institute of Technology) : Global solution to the Boltzmann equation without cutoff on the whole space via $L^1 \cap L^p$ approach | Francesco Salvarani (Leonardo da Vinci University Center (Paris) & University of Pavia (Pavia)) : Kinetic equations for gases undergoing resonant collisions | Shigeru Takata (Kyoto University) : Boundary singularity of a mono-speed Lorentz model for molecules with the infinite-range potential | Kung-Chien Wu (National Cheng Kung University) : Mixture estimate in fractional sense | Xiong-Tao Zhang (Huazhong University of Science and Technology) : Dynamical behaviors in stochastic kinetic flocking models | |||||||||
31 | 110 | Computation on Supersingular and Superspecial Curves and its Applications | Katsuyuki Takashima | Supersingular and superspecial algebraic curves have been studied in coding theory and cryptography for the last few decades. The applications are based on explicit constructions and computational aspects of such algebraic curves, which give novel and fascinating mathematical challenges. Interestingly, we have different kinds of problems depending on the genus of curves. The supersingular genus 1 curves, i.e., elliptic curves, are a central ingredient in quantum-resistant isogeny-based cryptography. A series of recent research shows that the security of the cryptosystems is closely related to arithmetic on superspecial curves of higher genera, whose study is the main topic in this minisymposium. | Scientific minisymposium | Katsuyuki Takashima (Waseda University) : Decomposed Richelot isogenies of Jacobian varieties of hyperelliptic curves and generalized Howe curves | Tomoki Moriya (The University of Tokyo) : Some explicit arithmetics on curves of genus three and their applications | Momonari Kudo (The University of Tokyo) : Explicit construction and enumeration of superspecial and supersingular curves of higher genera | Ryo Ohashi (Yokohama National University) : The a-numbers, superspecialities and maximalities of genus-3 curves | |||||||||||||||||
32 | 114 | Computational Biology | Takashi Suzuki | Besides the traditional experimentalexperimental and theoretical biology, computational biology is the third biology. Its mission is to visualize the activities of living things on the screen to understand their backgrounds theoretically and to predict future status for applications. For this purpose, experimental, data, and simulation sciences are applied, but mathematical formulae are obviously necessary. Computational biology is now widely spreading as a new challenge of industrial and applied mathematics. This minisymposium focuses on recent developments in computational biology. | Scientific minisymposium | Clair Poignard (Inria Bordeaux-Sud Ouest, University of Bordeaux, Institut Math. Bordeaux, CNRS 5251) : Electroporation modeling by phase-field model | Shingo Iwami (Nagoya University) : Modeling and characterizing vaccine-elicited antibody responses | Marwa Akao (Nagoya University) : Mathematical analysis of bone metabolism markers in mice with spiral wire immobilization | Raiki Yoshimura (Nagoya University) : Predicting clinical outcomes of acute liver failure | Masaharu Nagayama (Hokkaido University) : Mathematical modeling of the epidermis with the deformable dermis and its application to skin diseases | Yueyuan Gao (Hokkaido University) : Parameter estimation for a compartmental model of systemic circulation describing Glucose, Insulin and C-peptide dynamics | Shin-Ichiro Ei (Hokkaido University) : Effective kernels on Reaction-diffusion networks | Yasushi Ishikawa (Ehime University) : Application of stochastic analysis to neuronal model dynamics | Takanori Nakamura (The University of Tokyo) : Mathematical modeling of the mTORC1-mediated sensing of intracellular amino acids and glucose levels | Hiroshi Haeno (Tokyo University of Science) : Computational modeling reveals optimal therapy to prevent malignant transformation in Grade II gliomas | Mark Chaplain (University of St Andrews) : Computational modelling of cancer invasion | Nikos Kavallaris (Karlstad University) : The prognositic value of immune infiltration patterns on the outcome of chemotherapy in breast cancer | |||||||||
33 | 118 | On mathematical modeling and simulation of droplets | Hangjie Ji, Pejman Sanaei | The mathematical modeling and simulation of droplets is a basic and fundamental problem in the history of fluid mechanics. Droplets can undergo a variety of interesting nonlinear dynamics such as droplet coalescence/break up, electro-wetting, and traveling waves, etc, due to surface tension effects, substrate geometry and material, as well as external physical forces. This minisymposium will present recent advances in the modeling and simulation of droplets and focus on the mathematical challenges arising from different real-world applications. | Scientific minisymposium | Dominic Vella (University of Oxford ) : The origins of slow dynamics | Anand Oza (New Jersey Institute of Technology) : Invariant measures of walking droplets in hydrodynamic pilot-wave theory | Reed Ogrosky (Virginia Commonwealth University) : Plug formation in models of falling viscous films inside tubes | Hangjie Ji (North Carolina State University) : Thermally-driven coalescence in thin liquid film flowing down a fiber | Michael Siegel (New Jersey Institute of Technology) : A hybrid boundary integral method for two phase flow of drops with soluble surfactant | Radu Cimpeanu (University of Warwick) : On the bounce: capillary rebound of droplets impacting onto a liquid bath | Marina Chugunova (Claremont Graduate University) : Motion of liquid droplets in gas channels | Pejman Sanaei (Georgia State University) : On the immersed boundary method in simulating liquid-gas interfaces | Mark Bowen (Waseda University) : Dipole-type solutions to the thin-film equation | Yuan Gao (Purdue University) : Onsager’s principle, variational inequality, computations | |||||||||||
34 | 134 | Evolution Equations for Interacting Species: Applications and Analysis | Jan-Frederik Pietschmann, Markus Schmidtchen, Havva Yoldaş | This mini-symposium brings together leading experts in the field of systems of PDEs arising in the context of interacting particles. Steric effects and interactions between members of opposite or the same species typically lead to systems of nonlocal and cross-diffusion type. The interplay of degenerate parabolicity and nonlocalities leads to a myriad of interesting emergent behaviours including pattern formation and phase separation. At the same time, these systems pose a variety of challenging analytical mathematical problems including the dramatic loss of regularity at the onset of phase separation. Thus, new analytical techniques and reliable numerical methods are needed. | Scientific minisymposium | Jan-Frederik Pietschmann (University of Augsburg) : Evolution Equations for Interacting Species - An Introduction | Alexandra Holzinger (Technical University of Vienna) : Fluctuations around the mean-field limit for a class of mod- erately interacting particle systems | Gissell Estrada-Rodriguez (Universitat Politecnica de Catalunya) : From kinetic descriptions to nonlocal PDEs for collective movement | Hideki Murakawa (Ryukoku University) : An approximation to a model governing the motion of two cell population | Steffen Plunder (University of Vienna) : The impact of heterogeneity during development of epithelial tissue and initiation of cell migration | Georg Heinze (Technische Universität Chemnitz) : Nonlocal-Interaction Equation on Graphs: Local Operator Limit | Havva Yoldas (Delft University of Technology) : A variational approach for an existence result for a cross- diffusion model | Julia I. M. Hauser (Technische Universität Dresden) : A Convergent Finite Volume Method for a Kinetic Model for Interacting Species | Tomasz Dębiec (University of Warsaw) : Incompressible limit for a two-species tumour growth model | Laura Kanzler ( LJLL Sorbonne-Université) : Size Spectrum Models in Marine Ecosystems | Alethea B. T. Barbaro (Delft university of Technology) : A model for territorial dynamics: from particle to continuum | Luca Alasio ( LJLL Sorbonne-Université) : Towards a new mathematical model of the visual cycle | |||||||||
35 | 135 | Nonlinear PDEs and related diffusion phenomena | Kazuhiro Ishige, Tatsuki Kawakami, Matteo Muratori | Diffusion equations have a primary role in the description and modeling of several physical phenomena. A classical prototype is the heat equation, deriving from Fourier’s law, which is by now a widely studied topic within the mathematical community, both in Euclidean and non-Euclidean frameworks such as manifolds or metric-measure spaces. In the last decades, many nonlinear and nonlocal versions of this equation and related ones have been proposed and analyzed, which gave rise to challenging mathematical problems. We aim at gathering international experts and talented young researchers that will discuss the most recent advances on the subject. | Scientific minisymposium | Kazuhiro Ishige (University of Tokyo) : Characterization of F-concavity preserved by the Dirichlet heat flow | Matteo Bonforte (Universidad Autónoma de Madrid) : Sharp extinction rates for fast diffusion equations on generic bounded domains | Ki-Ahm Lee (Seoul National University) : Systems of degenerate partial differential equations | Elvise Berchio (Politecnico di Torino) : Fluid-structure interaction between the section of a bridge and the wind in a channel | Yohei Fujishima (Shizuoka University) : Quasi self-similarity and its application to the global-in-time solvability of a superlinear heat equation | Masahiko Shimojo (Tokyo Metropolitan University) : Spreading and extinction of solutions to the logarithmic diffusion equation with a logistic reaction | Yannick Sire (Johns Hopkins University) : Nematic liquid crystal flows with free boundaries | Megumi Sano (Hiroshima University) : Sobolev-type inequality with a logarithmic weight and its application to an eigenvalue problem involving the critical Hardy potential | Giulia Meglioli (Politecnico di Milano (from December at Bielefeld University, Germany)) : Global existence for parabolic reaction-diffusion equations on manifolds | Qing Liu (Okinawa Institute of Science and Technology Graduate University) : On nonlinear evolution equations with nonlocal terms and applications in image processing | Davide Bianchi (Harbin Institute of Technology) : The generalized porous medium equation on graphs | Reika Fukuizumi (Tohoku University) : Stochastically perturbed nonlinear diffusion equations | |||||||||
36 | 137 | Mathematical Aspects of Multiscale Phenomena in Materials and Complex Fluids | Yekaterina Epshteyn, Chun Liu, Masashi Mizuno | The mini-symposium will focus on mathematical aspects of multiscale phenomena in materials and complex fluids. New scientific problems along with novel mathematical techniques and computational tools have emerged from the study of multiscale phenomena, for example, in polycrystalline materials, biomaterials, flow through porous media, as well as liquid crystals, to name a few. The mini-symposium will bring together experts in the area of mathematical aspects of materials and complex fluids and will feature talks on the latest advances in the field that range from mathematical modeling and analysis of partial differential equations to algorithm design, simulation and data analysis. | Scientific minisymposium | Weizhu Bao (National University of Singapore) : Diffuse-interface approach to competition between viscous flow and diffusion in pinch-off dynamics | Yury Grabovsky (Temple University) : TBA | Yekaterina Epshteyn (University of Utah) : New perspectives on mathematical modeling, simulation and analysis of grain growth in polycrystalline materials | Arkadz Kirshtein (Tufts University) : Variational modeling of porous medium flow | Masashi Mizuno (Nihon University) : Entropy dissipation methods for Nonlinear inhomogeneous Fokker-Planck models | Kaitlin O'Dell (University of Utah) : Energetic-variational particle-based method for Fokker-Planck Models | Malgorzata Peszynska (Oregon State University) : Modeling complex coupled phenomena in domains with complex geometry | Keisuke Takasao (Kyoto University) : The phase field model for the volume-preserving mean curvature flow | Yang Xiang (Hong Kong University of Science and Technology) : Continuum models for motion of grain boundaries with microscopic constraints | Qing Xia (KTH) : Multiscale analysis of nonlinear material models with carrier kinetics | Yiwei Wang (University of California Riverside ) : Structure-preserving variational discretization to generalized gradient flows | Masaaki Uesaka (University of Tokyo) : A finer singular limit of the Kobayashi-Warren-Carter type functional and its gradient flow | |||||||||
37 | 138 | Inverse Problems for Partial Differential Equations and Related Topics | Huaian Diao, Hongyu Liu, Yang Yang | Inverse problems for partial differential equations PDEsPDEs concern recovery of unknown coefficients or geometries/topologies within the equations by knowledge of certain observables. These problems sit at the intersection of mathematical analysis, PDE theory, and scientific computing, with broader application to modern imaging science and technology. This minisymposium aims to highlight recent advances in inverse problems for PDEs. It will bring together international scientific researchers to discuss recent developments and emerging challenges in this fast-evolving field. Major topics include butnotlimitedtobutnotlimitedto 11 inverse problems in wave-based imaging; 22 integral geometry and PDEs; 33 inverse scattering theory; 44 data-driven inverse methods for PDEs. | Scientific minisymposium | Youjun Deng (Central South University) : On plasmon modes in multi-layer structures | Yukun Guo (Harbin Institute of Technology) : Simultaneous recovery of a scattering cavity and its internal sources | Hongjie Li (The Chinese University of Hong Kong) : Minnaert resonances for bubbles in soft elastic materials | Shiqi Ma (Jilin University) : Fixed angle inverse scattering for sound speeds close to constant | Guanghui Zheng (Hunan University) : Mathematical analysis of microscale hydrodynamic cloaking via electro-osmosis | ||||||||||||||||
38 | 140 | Interacting particle systems: modeling, learning and applications | Fei Lu, Mauro Maggioni | Systems of interacting particles or agents are ubiquitous in science and technology, with new theory and applications developing at a rapid pace. This mini-symposium aims at a cross-fertilization of areas in the study of topics in interacting particle systems, including, but not limited to: their analysis, computational techniques, parametric and nonparametric inference problems, control, interacting particles on graphs, use of interacting particle-based methods in optimization and neural networks, modeling and applications. | Scientific minisymposium | David Bortz (University of Colorado Boulder) : The Statistical Power of the Weak Form in Learning Interacting Particle System Models | Grigorios Pavliotis (Imperial University) : Inference for mean field SDEs: eigenfunction martingale estimators and stochastic gradient descent | Pierre-Emmanuel Jabin (Penn State University) : Mean-field limits of non-exchangeable systems | Xiaohui Chen (University of Illinois at Urbana-Champaign) : Mean-field nonparametric estimation of interacting particle systems | Sui Tang (University of California, Santa Barbara) : Data-driven discovery of particle-swarming models with Gaussian process | Mauro Bonafini (University of Verona) : A game-based approach to learn interaction rules for systems of rational agents | Karthik Elamvazhuthi (University of California, Riverside) : Non-local regularization of Semilinear PDE for Probability Density Stabilization | Lei Li (Shanghai Jiao Tong University) : The mean field limit of random batch interacting particle systems | |||||||||||||
39 | 143 | Recent advances in stochastic optimal control and contract theory | Dylan Possamaï | The aim of this session is to bring together some of the most active junior researchers in the areas of stochastic optimal control, with an emphasis on applications to contract theory and principal-agent problems. It will be a perfect and timely opportunity to take stock of the recent progresses in these very trendy topics, as well as to highlight the deep links that they share. In particular, a specific attention will be put on relationships with mean-field and Stackelberg games, McKean-Vlasov optimal control, and time-inconsistent optimal control problems. | Scientific minisymposium | Emma Hubert (Princeton University) : A stochastic target approach to Stackelberg games ans moral hazard with constraints | Alejandro Rivera (University of Texas at Dallas) : Contracting with a present-biased agent: Sannikov meets Laibson | Mehdi Talbi (ETH Zürich) : Mean field optimal stopping and applications in contract theory | Nicolàs Hernández Santibáñez (Universidad de Chile) : Pollution regulation for electricity generators in a transmission network | |||||||||||||||||
40 | 151 | Recent trends in SHM: damage modeling and optimal experimental design from a mechanical and mathematical point of view | Kathrin Welker, Natalie Rauter | Structural and mechanical systems like bridges, buildings and defense systems play an essential role in modern societies. The maintenance of these structures must provide their safety and prevent the loss of life but at the same time be cost-efficient. Usually, the monitoring issue has been tackled from an engineering point of view. Consequently, the number of possible problem-solving algorithms is drastically reduced. In this minisymposium, the approaches from a mathematical and mechanical point of view are presented. These lead from methods for optimal sensor placements and applications of shape optimization to numerical simulations of damage detection, evolution, and prognosis. | Scientific minisymposium | Volker Schulz (Trier University) : Optimization aspects of experimental design approaches for sensor placement | Olga Weiß (Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg) : Optimal sparse sensor location for structural health monitoring | Carol Featherston (Cardiff University) : A low power autonomous SHM node for aerospace applications | Lukas Vierus (Saarland University) : Sequential subspace optimization for recovering stored energy functions in hyperelastic materials from time-dependent data | Rasoul Najafi Koopas (Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg) : Numerical modeling of crack propagation in concrete by means of cohesive zone elements | Carmen Gräßle (Technische Universität Braunschweig) : Damage parameter estimation in composite materials using data assimilation with reduced order models | Nicolai Simon (Universität Hamburg) : Coefficient Control for Variational Inequalities | Tim Suchan (Helmut Schmidt University/University of the Federal Armed Forces Hamburg) : Simulation of fracture propagation using gradient-based shape optimization algorithms | |||||||||||||
41 | 153 | Recent Advances on Inverse Analysis | Takahiko Kurahashi, Jin-Xing Shi, Masayuki Kishida, Eiji Katamine | In inverse analysis, unknown design variables and parameters are calculated so as to satisfy observed values and design standard values, and this kind of analysis is widely performed in design problems, i.e., shape optimization and topology optimization problems, and parameter identification problems. The adjoint variable method, the direct differentiation method, the Kalman filter, etc. are generally employed to solve these problems. However, the solution may not be appropriately calculated unless special methods are used. In this mini symposium, the purpose is to discuss new numerical methods and considerations to solve problems in inverse analysis. | Scientific minisymposium | Takahiko Kurahashi (Nagaoka University of Technology) : Considerations on tidal flow estimation analysis for Tokyo Bay model based on the extended Kalman filter finite element method | Jin-Xing Shi (Komatsu University) : Shape optimization of auxetic structure with periodicity for identification of negative Poisson's ratio | Masayuki Kishida (National Institute of Technology, Gifu College) : Density type topology optimization for equivalent stress minimization problem based on a modified optimality criteria method | Eiji Katamine (National Institute of Technology, Gifu College) : Shape optimization of fluid-structure interaction field | |||||||||||||||||
42 | 154 | Homogenization of PDEs in domains with oscillating boundaries or interfaces | Patrizia Donato, Akambadath K. Nandakumaran | PDEs in domains with rapid oscillating boundaries, jump-conditions on oscillating interfaces have many applications. In material science, it is important to study how the oscillating interface affects the heat diffusion, so that the analysis of problems in complex domains are needed. The homogenized problem describes macroscopic diffusion in domains without oscillations. The applications are many, including interesting recent applications to biology. A large community working in this specialized area of research, through this minisymposium, we would address recent results by known specialists worldwide. It will also be an opportunity to interact with the specialists and look for new directions. | Scientific minisymposium | Micol Amar ( Sapienza Università di Roma) : Heat conduction in composite media involving imperfect contact conditions. | Juan Casado-Díaz (University of Sevilla) : The asymptotic behaviour of a fluid with a non-slip condition on a non-periodic oscillating boundary. | Editha C. Jose (University of The Philippines Los Baños) : Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface | Bidhan Chandra Sardar (IIT Ropar) : Homogenization of Stokes system with Neumann condition on highly oscillating boundary | Manuel Luna-Laynez (University of Sevilla) : A decomposition result for thin domains with rough boundary | Maria Neuss-Radu (Universität Erlangen-Nürnberg) : Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers. | Carmen Perugia (Università del Sannio) : Asymptotic Behaviour of a Bingham Flow in Thin Domains with Rough Boundary. | Klas Pettersson (Chalmers University of Technology) : Homogenization of a 2D two-component domain with an oscillating thick interface. | |||||||||||||
43 | 164 | Recent Advances in Direct and Inverse Problems in Mathematical Materials Science | Lyudmyla Barannyk, Silvia Jimenez Bolanos, Yvonne Ou | In recent years, there has been a tremendous growth of activity in developing methods for materials-related phenomena occurring over multiple scales in time and space. This minisymposium focuses on multiscale modeling, analysis, and simulation of the problems arising in composites and other heterogeneous media. In particular, topics that will be discussed include but are not limited to asymptotic analysis such as homogenization, modeling of new materials, inverse problems, and computational tools. The purpose of this minisymposium is to encourage the exchange of ideas and networking among researchers working on the topics mentioned above. | Scientific minisymposium | Lyudmyla Barannyk (University of Idaho) : Studying Stefan problems with internal heat generation using sharp interface models | Alexander Panchenko (Washington State University) : Stability and pattern formation in active materials | Yvonne Ou (University of Delaware) : On the governing equations of poro-piezoelectric composite materials | Elena Cherkaev (University of Utah) : Quasiperiodic structures and composites | Petr Plechac (University of Delaware) : Uncertainty quantification for stochastic damage models | Ken Golden (University of Utah) : Homogenization for Multiscale Composites in the Physics and Biology of Sea Ice | Silvia Jimenez Bolanos (Colgate University) : Bloch Waves in High Contrast Electromagnetic Crystals | Yuliya Gorb (National Science Foundation) : Homogenization of a suspension of viscous fluid with magnetic particles | Robert Lipton (Louisiana State University) : Quasistatic fracture using fixed point methods | Shari Moskow (Drexel University) : The Lippmann-Schwinger Lanczos method for inverse scattering problems | Anna Zemlyanova (Kansas State University) : An axisymmetric problem for a nano-sized membrane on a surface of an elastic semi-space | Yuri Godin (University of North Carolina at Charlotte) : Propagation of clusters of Bloch waves in three-dimensional periodic media | |||||||||
44 | 170 | Integrable systems, orthogonal polynomials and asymptotics | Nalini Joshi, Nobutaka Nakazono, Milena Radnovic, Da-jun Zhang, | Interest in nonlinear dynamical systems has grown dramatically over the past half century. Profound advances have been fueled by the discovery of integrable systems that are applicable in a wide range of applications. In particular, nonlinear ODEs called the Painlev\' equations model applications in many fields, in particular in random matrix theory and growth processes. Their appearance in quantum gravity and orthogonal polynomial theory has led to widening interest in integrable discrete versions of these equations. This minisymposium will bring together recent developments in integrable systems, orthogonal polynomials and asymptotics with a view to describing new special functions. | Scientific minisymposium | Pieter Roffelsen (University of Sydney) : "On q-Painlevé VI and the geometry of Segre surfaces | Harini Desiraju (University of Sydney ) : Surprises on the torus: from accessory parameters to connection constants | Frank Nijhoff (University of Leeds) : Lagrangian multiform structure for the discrete and semi-discrete KP equations | Jarmo Hietarinta (Turku University) : TBA | David Gomez-Ullate (University of Cadiz) : Continuous isospectral deformations of classical Jacobi polynomials | Kerstin Jordaan (University of South Africa) : Properties of generalised higher order Freud polynomials | Tomas Lasic Latimer (University of Sydney) : Asymptotics of q-Freud II orthogonal polynomials | Xiangke Chang (Chinese Academy of Science) : On isospectral deformations related to orthogonal functions | Kohei Iwaki (University of Tokyo) : Exact WKB analysis and related topics | Ines Aniceto (University of Southhampton) : TBA | Christopher Lustri (Macquarie University) : Describing the transition between a continuous and discrete Painlev\'{e} equation using Stokes' Phenomenon | Adri Olde Daalhuis (University of Edinburgh) : Transition region expansions for differential equations with a large parameter | |||||||||
45 | 176 | Hyperbolic PDEs modelling non-Newtonian fluid flows | Sébastien Boyaval | Since the beginning of continuum mechanics, the need to improve quantitative predictions of non-Newtonian flows continues. The simulation of turbulence or of complex non−homogeneousnon−homogeneous fluids using good PDEs, in particular, remains an unsatisfied goal. A major challenge is how to conciliate the conservation principles funding physics with quantitative observations. A natural approach is to add dissipative relaxation terms in the hyperbolic PDEs resulting of conservation laws. The goal of the minisymposium is to confront recent advances, with promising theoretical or numerical results, regarding hyperbolic PDEs plus relaxation sources for various non-Newtonian fluid flows. | Scientific minisymposium | Wen-An Yong (Tsinghua University) : Maxwell relaxation to Newtonian flows | Yuxi Hu (China University of Mining and Technology) : Well-posedness and asymtotic behavior for hyperbolized compressible Navier-Stokes equations | Martin Ferrand (Cerea, EDF R&D -- Ecole des Ponts) : Some schemes for second-moment turbulent models in incompressible flows | Sergey Gavrilyuk (Aix-Marseille University) : Some comments on the numerical modeling of compressible turbulent flows and shallow-water models | |||||||||||||||||
46 | 178 | Theoretical and Computational Progress on PDE-based Inverse Problems with Applications | Huaian Diao, Hongyu Liu, Yang Yang | Inverse problems for partial differential equations PDEsPDEs concern recovery of unknown coefficients or geometries/topologies within the equations by knowledge of certain observables. These problems sit at the intersection of mathematical analysis, PDE theory, and scientific computing, with broader application to modern imaging science and technology. This minisymposium aims to highlight recent advances in inverse problems for PDEs. It will bring together international scientific researchers to discuss recent developments and emerging challenges in this fast-evolving field. Major topics include 11 inverse problems in wave-based imaging; 22 inverse scattering theory; 33 data-driven inverse methods, and their applications to medical and geophysical imaging. | Scientific minisymposium | Yi-Hsuan Lin (National Yang Ming Chiao Tung University) : Inverse source problem for semilinear equations | Weishi Yin (Changchun University of Science and Technology) : A neural network method for time-dependent inverse source problem with limited-aperture data | Xianchao Wang (Harbin Institute of Technology) : A novel quantitative inverse scattering scheme using interior resonant modes | Youjun Deng (Central South University) : On plasmon modes in multi-layer structures | Yukun Guo (Harbin Institute of Technology) : Simultaneous recovery of a scattering cavity and its internal sources | Hongjie Li (The Chinese University of Hong Kong) : Minnaert resonances for bubbles in soft elastic materials | Shiqi Ma (Jilin University) : Fixed angle inverse scattering for sound speeds close to constant | Guang-Hui Zheng (Hunan University) : Mathematical analysis of microscale hydrodynamic cloaking via electro-osmosis | Jiguang Sun (Michigan Technological University) : Local estimators and Bayesian inverse problems with non-unique solutions | Yimin Zhong (Auburn University) : How much can one learn a PDE from its solution? | |||||||||||
47 | 179 | Advances in forward and inverse problems of wave equations | Carlos Borges, Jun Lai | The recent advances in wave equations and its fast numerical methods have provided useful tools for many applications ranging from nano-optics to medical imaging and geosciences. This mini-symposium will discuss the challenges in the formulations of forward and inverse problems, cutting edge fast algorithms and their efficient implementation and applications in various fields. At the same time, it will provide opportunities to promote interdisciplinary research collaboration between computational scientists and other fields. | Scientific minisymposium | Borges Carlos (University of Central Florida) : On the Robustness of Inverse Scattering for Penetrable, Homogeneous Objects | Manas Rachh (Flatiron Institute) : Deep learning for inverse scattering problems | Leslie Greengard (Flatiron Institute, New York University) : Hybrid methods for the application of singular integral operators | Jeremy Hoskins (University of Chicago) : Fast Algorithms for Certain Simulations in Quantum Optics | Travis Askham (New Jersey Institute of Technology) : Exploring impedance boundary conditions as a universal model for inverse obstacle scattering | Mike O'Neil (New York University) : Inverse scattering for the Lippmann-Schwinger equation in three dimensions | Jun Lai (Zhejiang University) : Fast inverse elastic scattering of multiple particles in three dimensions | MinHyung Cho (University of Massachusetts - Lowell) : Accurate evaluation of Helmholtz layer potentials using Quadrature by two expansions | Wangtao Lu (Zhejiang University) : A high-accuracy boundary integral equation method for wave scattering by 3D analytic surfaces | Felipe Vico (Universitat Politècnica de València) : Lippmann Schwinger integral equation for fiber optics analysis | Lei Zhang (Zhejiang University of Technology) : The core-shell obstacle composite scattering in a multilayered medium | Gang Bao (Zhejiang University) : TBA | |||||||||
48 | 184 | Recent advances in data-driven methods for inverse problems | Subhadip Mukherjee, Carola-Bibiane Schönlieb, Martin Burger | The remarkable success of deep learning has led to a transformative impact on the research landscape of inverse problems in imaging. This mini-symposium aims to bring together researchers who have made exciting contributions to understanding the theoretical foundations and empirical performance of deep learning in various imaging applications. The talks will cover a wide range of topics such as deep regularization, Bayesian methods, microlocal analysis, learned optimization solvers, and robustness of reconstruction methods to distribution shift and adversarial attacks, making the sessions of sufficient interest to a broad audience, while encouraging an exchange of ideas to advance the state-of-the-art. | Scientific minisymposium | Carola-Bibiane Schönlieb (University of Cambridge) : On provably convergent regularization in data-driven inverse problems solutions | Yunseok Lee (Ludwig-Maximilians-Universität München) : Deep learning-based regularization of inverse problems | Samira Kabri (Friedrich-Alexander-Universität Erlangen-Nuernberg) : Deep regularization with neural operators | Clemens Arndt (University of Bremen) : Solving ill-posed inverse problems with invertible residual networks | Ulugbek Kamilov (Washington University in St. Louis) : Deep model-based architectures for inverse problems under mismatched priors | Rima Alaifari (ETH Zürich) : Adversarial attacks on medical image reconstruction | Tatiana Bubba (University of Bath) : Microlocal analysis meets deep learning in limited-angle tomography | Hong Ye Tan (University of Cambridge) : Data-driven convex optimization via mirror descent | Jong Chul Ye (Korea Advanced Institute of Science and Technology) : Score-based diffusion models for general noisy inverse problems | Julie Delon (Universidad de París V Descartes) : On data-driven priors for Bayesian image sampling | Jan Stanczuk (University of Cambridge) : Conditional image generation with score-based models | Georgios Batzolis (University of Cambridge) : Conditional image generation with score-based models | Angelica Aviles Rivero (University of Cambridge) : Hypergraph diffusion nets for multi-modal data analysis | ||||||||
49 | 185 | AAA rational approximation: extensions and applications | Lloyd N. Trefethen | The numerical computation of rational approximations has become much easier since the appearance of the AAA algorithm in 2018. This minisymposium will explore some of the many things that have happened since then. | Scientific minisymposium | Lloyd Nicholas Trefethen (University of Oxford) : Review of AAA approximation | Anil Damle (Cornell University) : Rational approximation for noisy data | Victor Gosea (Max-Planck Institute Magdeburg) : The AAA algorithm for reduced-order modeling of systems with second-order dynamics | Daan Huybrechs (KU Leuven) : Rational approximation of functions with singularities | Karl Meerbergen (KU Leuven) : Linearization of dynamical systems using the AAA algorithm | Athanasios Antoulas (Rice University) : An overview of the Loewner framework for function approximation and model reduction | Serkan Gugercin (Virginia Tech) : Barycentric forms and AAA framework for parametric dynamical systems and for systems with quadratic outputs | Olivier Sete (University of Greifswald) : AAA and numerical conformal mapping | |||||||||||||
50 | 187 | Analysis and geometry of inextensible materials | Dmitry Vorotnikov | There are many objects in the world around us that can be modeled as inextensible: pipes, chains, ribbons, cloth, whips, flagella, filaments, macromolecules, soft robot links, yarn, flags, cables in the ocean, galactic motion and octopus tentacles. In a certain sense, the inextensibility interpolates between rigid bodies and incompressible fluids but in comparison to them has many genuinely new difficulties due to the presence of unknown Lagrange multipliers. We intend to bring together some of the leading experts to discuss the modern ways to handle the analytical complexity of the PDE related to inextensible materials and the beautiful underlying geometry. | Scientific minisymposium | Soeren Bartels (University of Freiburg) : Thin sheet folding: modeling and simulation | Chun-Chi Lin (National Taiwan Normal University) : Geometric analysis on multi-component membrane vesicles | Matteo Novaga (University of Pisa) : Gradient flows in L^1 | Dmitry Vorotnikov (Universidade de Coimbra ) : Gradient flows of inextensible networks | |||||||||||||||||
51 | 193 | Adversarial robustness at the interface of analysis, geometry and statistics | Tim Roith, Nicolás García Trillos, Martin Burger | Stability and robustness have emerged as essential properties for modern machine learning methods. In this three-part minisymposium, we gather researchers from mathematics, statistics, and computer science that have been driving the research in this field in a variety of directions, offering a platform for scientific exchange and aiming at sparking new collaborations in this vibrant and important field. Some of the topics that will be covered by this mini-symposium include regularization methods and insights from variational calculus for training robust models, numerical methods for solving min-max problems, distributionally robust optimization, GANs, geometric insights on adversarial robustness, among others. | Scientific minisymposium | Leon Bungert (University of Bonn) : Gamma convergence of a nonlocal perimeter from adversarial machine learning | Muni Sreenivas Pydi (University of Wisconsin - Madison) : Provable Adversarial Robustness via Optimal Transport | Ryan Murray (North Carolina State University) : Pursuing regularity in optimal adversarial classification | Matt Jacobs (Purdue University) : Multiclass adversarial learning and the generalized Wasserstein barycenter problem | José Blanchet (Stanford University) : Tikhonov regularization is optimal transport robust under martingale constraints | Natalie Frank (New York University) : Adversarial Training and Consistency | Po-Ling Loh (University of Cambridge) : Robust second-order estimation algorithms | Cynthia Rush (Columbia University) : Distributionally Robust Linear Predictors using the Projected Wasserstein Metric | Lukas Weigand (Friedrich-Alexander-Universität Erlangen-Nürnberg) : Adversarial Flows | Camilo García Trillos (University College London) : Adversarial training: local regularization and global particle-based methods | Yulong Lu (University of Massachusetts Amherst) : On the convergence of simulated annealing for min-max optimization | Krishnakumar Balasubramanian (University of California, Davis) : An Optimal Algorithm for Stochastic Multi-level Composition Optimization | |||||||||
52 | 201 | Data-Driven Methods for Rough PDEs | Matthieu Darcy, Edoardo Calvello | Recently there has been an increased interest in applying data driven methods to learn partial differential equations PDEsPDEs. For example, operator learning has been developed to learn maps between infinite-dimensional function spaces and has shown success in the context of smooth PDEs. However, these methods perform poorly in areas where PDEs are less well-behaved; for instance, when equations are parameterized by non-smooth functions or when the PDE involves stochasticity. This mini-symposium invites experts on novel methods for learning stochastic and ill-conditioned multiscale PDEs. Topics will include numerical methods for SPDEs, learning in multiscale settings, and advances in operator learning. | Scientific minisymposium | Margaret Trautner (California Institute of Technology) : Wavelet Autoencoders for Multiscale PDEs | Edoardo Calvello (California Institute of Technology) : Solving Rough PDEs Using Smooth Kernels | Matthieu Darcy (California Institute of Technology) : Operator learning with operator adapted wavelets and kernels | Eric Chung (Chinese University of Hong Kong) : Learning computational multiscale models | Paul Bogdan (University of Southern California) : Multiwavelet-based Operator Learning for Differential Equations | Cristopher Salvi (Imperial College London) : Neural stochastic PDEs: resolution-invariant learning for continuous spatio-temporal dynamics | Matthew Colbrook (University of Cambridge) : Stochastic Koopanism: Beyond learning the average | Chensen Lin (Fudan University) : Operator Learning for Predicting Multiscale Bubble Growth Dynamics | Sizhou Wu (Nanyang Technological University) : Multilevel Picard Approximation Algorithm for Semilinear Integro-differential Equations | Guanglian Li (University of Hong Kong) : Data-driven rough volatility model for option pricing | Roy Wang (California Institute of Technology) : ExpMsFEM, an Exponentially Convergent Multiscale FEM based on edge coupling for rough elliptic PDEs and beyond | Bamdad Hosseini (University of Washington) : Operator Learning for Nonlinear PDEs | |||||||||
53 | 215 | Mathematical Advances in the nonlinear PDEs from physics | Renjun Duan, Xianpeng Hu, Tong Yang | The aim of this mini-symposium is to bring together experts in the area of nonlinear PDEs from physics, such as Euler-type equations and Boltzmann equation, to present their recent research results in theoretical analysis and applications in physics. In this mini-symposium, people are expected to exchange new ideas, to discuss challenging issues, to explore new directions and topics, and to foster new collaborations and connections. | Scientific minisymposium | Zhu Zhang (Hong Kong Polytechnic University) : Shock profiles for the quantum Boltzmann equation | wei Xiang (City University of Hong Kong) : Hypersonic similarity for the steady Euler equations | Renjun Duan (Chinese University of Hong Kong) : Shear flow governed by the Boltzmann equation | Tong Yang (Hong Kong Polytechnic University) : Some analysis on compressible flow with strong boundary layers | Wenbin Zhao (Peking University) : Free boundary problems in compressible fluids | Zhi-An Wang (Hong Kong Polytechnic University) : Global dynamics of density-suppressed models | Wei-Xi Li (Wuhan University) : Analytic regularization effect of the spatially inhomogeneous Landau and Boltzmann equations | Tao Wang (Wuhan University) : Vacuum free boundary problems in ideal compressible MHD | Donghyun Lee (Postech) : Geometry and Regularity of the Boltzmann equation | Moon-Jin Kang (KAIST) : Stability of Riemann solutions containing a shock under physically admissible perturbations | |||||||||||
54 | 217 | Integration of modeling and data analysis on molecular, cellular, and population dynamics in the life sciences | Jae Kyoung Kim, Sungrim Seirin-Lee, Lei Zhang | Systems biology approaches that integrate heterogeneous biological data in quantitative mathematical models are expected to facilitate a comprehensive understanding of complex biological systems. This A3 China−Japan−Korea mini-symposium will bring together Asian mathematicians working in the field of mathematical modeling and data analysis to share their cutting-edge research results on dynamic phenomena at all levels from molecular and cellular to population. | Scientific minisymposium | Wei Lin (Fudan University) : Using machine learning to modulate and predict biological rythms | Lei Zhang (Peking University) : Network design principle for biological dual functions | Suoqin Jin (Wuhan University) : TBD | Yanxiang Zhao (George Washington University ) : TBD | Masatoshi Nishikawa (Hosei University) : TBD | Sungrim Seirin-Lee (Kyoto University) : TBD | Sakurako Tanida (The University of Tokyo) : TBD | Keita Iida (Osaka University) : TBD | Jae Kyoung Kim (KAIST/IBS) : TBD | Jinsu Kim (Postec) : TBD | Kresimir Josic (University of Houston) : TBD | Hyun Kim (IBS) : TBD | |||||||||
55 | 220 | Reaction-Diffusion Systems and Applications in life Sciences | Hong-Ming Yin, Takashi Suzuki | In this minisymposium we will focus on recent progress about the theory and applications of reaction-diffusion systems. A special focus will on the mathematical modelling and analysis for evolution systems with applications in biological, ecological, health and medical sciences such as modelling infectious diseases and tumor growth in life sciences. The minisymposium will invite experts in the field to report their recent results on these subjects. | Scientific minisymposium | Jeffrey Morgan (University of Houston) : On the mathematical model of infectious waterbone disease | Thomas Hillen (University of Alberta) : On PDE models in life sciences | Bei Hu (University of Ntre Dame) : On a free boundary problem modelling the tumer growth | Bao Quo Tang (University of Graz) : On the recent progress on the reaction-diffusion systems | Kazuo Yamazaki (Texas Tech University) : On a Methemtical model of an infectious disease. | Micahel Ward (University of British Columbia) : TBE | |||||||||||||||
56 | 221 | Analysis of Fluid Dynamics and Free Boundary Problems | Changyou Wang, Yuanzhen Shao | This mini-symposium will focus on the analysis of fluid dynamics and free boundary problems including the geometric evolution equations. We will put particular emphasis on the study of existence, uniqueness, regularity, global existence and stability, singularity formation of the modeling equations and the motion of free interfaces in Euclidean spaces or on manifolds. The study of fluid dynamics and free boundary problems have profoundly impacted many applied fields such as physics, biology and material sciences. Thus the analysis of these problems provides a critical and rigorous mathematical descriptions of the corresponding physical phenomena. | Scientific minisymposium | Gieri Simonett (Vanderbilt University) : Fluid flow on surfaces | Marcelo Disconzi (Vanderbilt University) : The relativistic Euler equations with a physical vacuum boundary | Yoshihiro Shibata (Waseda University) : R-solver and free boundary problem for the Navier-Stokes | Jiahong Wu (Oklahoma State University) : Stabilizing phenomenon for incompressible fluids | Yong Yu (The Chinese University of Hong Kong) : Global dynamics for liquid crystal droplets | Tianling Jin (Hong Kong University of Science and Technology) : Regularity and asymptotics for fast diffusion equations | Patrick Guidotti (University of California at Irvine) : A PDE approach to data set approximation | Joachim Escher (Leibniz University Hannover ) : The Rayleigh-Taylor Condition for the Muskat problem | Xianpeng Hu (City University of Hong Kong) : Incompressible limit of compressible viscoelastic systems with vanishing shear viscosity | Dehua Wang (Pittsburgh University) : Elastic effects on vortex sheets and vanishing viscosity | Mathias Wilke (Martin Luther University Halle-Wittenberg) : On some contact angle problems in fluid dynamics | Yuanzhen Shao (University of Alabama) : On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D | |||||||||
57 | 223 | Stochastic optimization and stochastic variational inequalities | Hailin Sun, Chao Zhang | Stochastic optimization and stochastic variational inequalities are important mathematical tools for decision-making problems and equilibrium problems under uncertainty. This mini-symposium brings several researchers in stochastic optimization and stochastic variational inequalities together and offers an opportunity to discuss the latest developments. | Scientific minisymposium | Chao Zhang (Beijing Jiaotong University) : A two-stage stochastic variational inequality model for storage and dynamic distribution of medical supplies in epidemic management | Dali Zhang (Shanghai Jiao Tong University) : Variable-sample method for the computation of stochastic Nash equilibrium | Jie Jiang (Chongqing University) : Discrete approximation for general two-stage stochastic variational inequalities | Hailin Sun (Nanjing Normal University) : Dynamic Stochastic Projection Method for Multistage Stochastic Variational Inequalities with Box Constraints | |||||||||||||||||
58 | 234 | Differential Galois Theory and Integrability of Dynamical Systems | Kazuyuki Yagasaki | The main objective of this minisymposium is to bring together researchers working on differential Galois theory and integrability of dynamical systems and to discuss recent results on the related topics containing the following: - Developments of differential Galois theory in dynamical systems - Integrability of dynamical Systems and PDE’s - Integrability in quantum mechanics and spectral theory - Galois approach to nonintegrability | Scientific minisymposium | Xiang Zhang (Shanghai Jiaotong University) : Local integrability and its regularity for smooth differential systems | Juan Jose Morales-Ruiz (Universidad Politecnica de Madrid) : Quantum approximation to the geodesic motion in the Schwarzschild black hole | Holger Dullin (The University of Sydney) : A tale of two polytopes related to geodesic flows on spheres | Maria-Angeles Zurro (Universidad Autonóma de Madrid) : Korteweg-de Vries traveling waves and differential Galois theory | Shoya Motonaga (Ritsumeikan University) : Obstructions to integrability of nearly integrable dynamical systems near regular level sets | Kazuyuki Yagasaki (Kyoto University) : Singular solitary waves in the KdV equation | Zbigniew Hajto (Jagiellonian University) : Real Liouvillian extensions of partial differential fields | Thierry Combot (University of Burgundy) : Non-integrability of a model of elastic dumbbell satellite | |||||||||||||
59 | 239 | Shape and Topology Optimizations | Takayuki Yamada, Grégoire Allaire, Hideyuki Azegami | Shape and topology optimizations are widely used in many industries and consider optimal shapes and topologies of materials to maximize desired physical properties. Topological changes also yield extremely high performance, and hence, these optimization methods have attracted much attention in many industries. Furthermore, recent technological innovations in additive manufacturing have made it possible to manufacture optimized materials and even metamaterials that do not exist in nature. Besides, these optimization methods that take manufacturability and practicality into consideration have also been developed and will be expected to be applied in various fields. | Scientific minisymposium | Grégoire Allaire (Ecole Polytechnique, France) : Topology optimization of supports for additive manufacturing with accessibility constraints | Takayuki Yamada (The University of Tokyo) : PDEs for topology optimization considering manufacturability | Tomoyuki Oka (The University of Tokyo) : Level set-based topology optimization with nonlinear diffusion | Charles Dapogny (CNRS Grenoble) : The topological ligament: an approach based on thin tubular inhomogeneities | |||||||||||||||||
60 | 247 | Interfaces and Free Boundaries in Fluid Mechanics and Materials Science | Sebastian Hensel, Kerrek Stinson | This minisymposium is focused on recent advances in the analysis of interface evolution problems. A particular emphasis lies on prominent applications arising in materials science graincoarseninginpolycrystallinematerialsgraincoarseninginpolycrystallinematerials, fluid mechanics fluid−structureinteraction,viscoussurfacewaves,dynamicwettingfluid−structureinteraction,viscoussurfacewaves,dynamicwetting and phase separation models from chemistry. The minisymposium brings together an international group of researchers, new and established, to discuss topics covering a broad range of associated mathematical questions and techniques. These include variational methods for modelling and solution theories, the rigorous derivation of sharp interface limits, and the analysis of evolving networks of branched interfaces. | Scientific minisymposium | Mingwen Fei (Anhui Normal University) : Sharp interface limit of a matrix-valued Allen-Cahn equation | Malte Kampschulte (Charles University) : Variational methods for time-dependent problems on dynamically changing domains | Alice Marveggio (Institute of Science and Technology Austria) : Convergence of phase-field models of Allen-Cahn type towards their sharp-interface limits | Dirk Peschka (WIAS Berlin) : Variational approaches to fluid flows with dynamic contact angles | Alessandra Pluda (University of Pisa) : Evolution of grain boundaries | Kerrek Stinson (University of Bonn) : A sharp interface model for phase separation in lithium-ion batteries | Ian Tice (Carnegie Mellon University) : Traveling wave solutions to free boundary problems in viscous fluid mechanics | Yoshihiro Tonegawa (Tokyo Institute of Technology) : End-time regularity theorem for Brakke flow | |||||||||||||
61 | 260 | Statistics for random dynamics | Hiroki Masuda, Shoichi Eguchi | Nowadays, a broad spectrum of large-scale and high-frequency data sets with complex spatiotemporal dependent structures is available; relevant fields of research are wide-ranging, including biology, finance, and actuarial science, to mention just a few. To create white-box models equipped with efficient and practical mechanisms for such data sets, simple combinations of the currently available devices are not enough, and it is therefore urgent and imperative to develop both mathematical statistics for stochastic processes and stochastic analyses synergistically, learning new from the past. Our session is intended to present the state-of-the-art of this active area of research. | Scientific minisymposium | Hiroki Masuda (University of Tokyo and Kyushu University) : Robustifying Gaussian quasi-likelihood inference for random dynamics | Shogo Nakakita (University of Tokyo) : Online parametric estimation of stochastic differential equations with discrete observations | Yuma Uehara (Kansai University) : Weighted block bootstrap for misspecified ergodic Lévy driven SDE models | Hayate Yamagishi (University of Tokyo) : Asymptotic expansion of estimator of Hurst parameter of SDE driven by fractional Brownian motion | Hayate Yamagishi (University of Tokyo) : Asymptotic expansion of estimator of Hurst parameter of SDE driven by fractional Brownian motion | ||||||||||||||||
62 | 263 | Problems in incompressible fluid flows: Stability, Singularity, and Extreme Behavior | Takashi Sakajo, Bartosz Protas | The objective of the mini-symposium is to survey recent progress regarding a number of problems in theoretical fluid mechanics and to foster an exchange of new ideas in this field. It will cover a range of topics related to the existence of equilibrium solutions and their stability, extreme behaviors realizable in fluid flows, regularity of solutions versus singularity formation, transport, and turbulence. Both vicious and inviscid flows will be considered as well as some other simplified models of fluid flow. The mini-symposium will emphasize insights obtained by exploiting connections between rigorous mathematical analysis, physics, and numerical computations. | Scientific minisymposium | Bartosz Protas (McMaster University) : Systematic search for singularities in 3D Euler flows | Takashi Sakajo (Kyoto University) : One-dimensionalf turbulent model based on Constantin-Lax-Majda-DeGregorio equation witrh a random forcing | Takeshi Matsumoto (Kyoto University) : Breakdown of self-similarity in decaying turbulence | Tsuyoshi Yoneda (Hitotsubashi University) : Mathematical reformulation of the Kolmogorov-Richardson energy cascade in terms of vortex stretching and related topics | Koji Ohkitani (Kyoto University) : Numerical study on how advection delays and removes singularity formation in the Navier-Stokes equations | Genta Kawahara (Osaka University) : Invariant solutions representing extreme events in turbulence | David Goluskin (University of Victoria) : Verifying global stability of fluid flows despite transient growth of energy | Miguel Bustamante (University College Dublin) : Extending the Gibbon-Fokas-Doering stagnation-point-type ansatz to finite-energy initial conditions: A solution to the Navier-Stokes Millennium Prize Problem? | Samriddhi Sankar Ray (International Centre for Theoretical Sciences, Bengaluru) : How numerical simulations help in understanding the fundamental questions of the Euler equation | Adam Larios (University of Nebraska) : Finding singularities via regularization: Analytical and computational approaches | Mohammad Farazmand (NC State University) : Enforcing conservation laws in truncated fluid models: the effect on heavy-tailed statistics | Alain Pumir (Ecole normale supérieure de Lyon) : Structure and scaling of extremely large velocity gradients in hydrdynamic turbulence | |||||||||
63 | 295 | Estimation problems over groups | Yuehaw Khoo, Nir Sharon, Amit Singer | We discuss a class of estimation problems that aim for unknown group elements or a signal affected by group actions. Three prominent examples of such problems are synchronization over groups, multireference alignment, and the recovery problem in single-particle cryo-EM. The talks will cover computational and theoretical aspects, including the sample complexity of the problems, constructing group invariant operators, sparsity, recovery strategies, machine learning-based methods, group-robust metrics, data modeling, autocorrelation analysis, and its acceleration techniques, manifold optimization in cryo-EM, synchronization analysis, and more. This mini-symposium is divided into three sections and will host senior and junior researchers as its speakers. | Scientific minisymposium | Marc Gilles (Princeton University) : Accelerated cryo-EM heterogeneity analysis by low-rank covariance estimation | Ellen Zhong (Princeton University) : Machine learning for ab initio cryo-EM reconstruction | Zhizhen Jane Zhao (University of Illinois at Urbana-Champaign) : Orthogonal Matrix Retrieval with Spatial Consensus for 3D Unknown-View Tomography | Anderson Ye Zhang (University of Pennsylvania) : Exact Minimax Optimality of Spectral Methods in Phase Synchronization and Orthogonal Group Synchronization | Yoel Shkolnisky (Tel Aviv University) : Group invariant graph Laplacians | Joakim Anden (KTH Royal Institute of Technology) : Data-driven models for multi-reference alignment | Tamir Bendory (Tel Aviv University) : The sample complexity of sparse multi-reference alignment and cryo-electron microscopy | Oscar Mickelin (Princeton University) : Autocorrelation analysis for cryo-EM with sparsity constraints | William Leeb (University of Minnesota) : Group-robust metrics | Jose Perea (Northeastern University) : Discrete and approximate vector bundles | Jeff Donatelli (UC Berkeley and Lawrence Berkeley National Laboratory) : Determining 3D structure from the angular correlations of X-ray solution scattering data | Ozan Oktem (KTH Royal Institute of Technology) : Manifold optimisation for model building and dynamics in single particle cryo-EM | |||||||||
64 | 278 | Nonlocal Modeling, Analysis, and Computation | Patrick Diehl, Pablo Seleson, Robert Lipton, Qiang Du | The past decade has seen a rapid growth in the development of nonlocal mathematical models. Nonlocal modeling is now being used in applications including continuum mechanics and fracture mechanics, anomalous diffusion and advection diffusion, and other fields. This minisymposium seeks to bring together mathematicians and domain scientists from different disciplines working on nonlocal modeling and is intended to serve as an international forum for the state of the art in the modeling, analysis, and numerical aspects of nonlocal models. | Scientific minisymposium | Burak Aksoylu (Texas A&M University-San Antonio) : Flow Problems Discretized with the Peridynamic Differential Operator | Julio Rossi (Universidad de Buenos Aires) : Energy based couplings between local and nonlocal equations | Yu Yue (Lehigh University) : Learning Nonlocal Neural Operators for Complex Physical System Modeling | Pablo Seleson (Oak Ridge National Laboratory) : Peridynamics computations at the exascale | Patrick Diehl (Louisiana State University) : Machine learning based coupling of local and nonlocal models | Christian Vollmann (University of Trier) : Nonlocal interface problems and shape optimization | Tadele Mengesha (University of Tennessee) : Nonlocal criteria for compactness in the space of L^p vector fields | Stewart Silling (Sandia National Laboratories) : Coarse graining and nonlocality | Xiaochuan Tian (UC San Diego) : Nonsymmetric gradient operators and nonlocal Dirichlet integrals on bounded domains | James Scott (Columbia University) : Nonlocal boundary value problems with rough data | Petronela Radu (University of Nebraska-Lincoln) : Well-posedness, regularity, and convergence of nonlocal solutions to classical counterparts | Han Fei (Dalian University of Technology) : Coupling of an atomistic model and peridynamic model using an extended Arlequin framework | |||||||||
65 | 268 | Neumann—Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics | Yoshihisa Miyanishi, Kazunori Ando | The Neumann—Poincaré operator （abbreviated by NP） is a boundary integral linear operator known as one of the important tools associated with boundary value problems in the field of partial differential equations. The detailed properties of NP operators can be comprehended as governing dynamics of many physical systems. Especially, the NP spectrum controls some physical systems （Electro dynamics, elastic systems and etc.）. Our purpose here is to discuss the spectral structure of NP operators and their applications to physical systems. N.B. We would like to hold 4 sessions at this minisymposium. | Scientific minisymposium | Hyoenbae Kang (Inha University) : Spectral structure of the Neumann-Poincare operator on thin domains | Mihai Putinar (Univ. of California, Santa Barbara) : Qualitative spectral analysis of the Neumann-Poincare operator | Dmitry Khavinson (Univ. of South Florida) : On a Uniqueness Property of Harmonic Functions | Hongyu Liu (City Univ. of Hong Kong) : Geometric properties of Neumann-Poincar\'e eigenfunctions and wave concentrations | Shota Fukushima (Inha Univ.) : Decomposition of vector fields and eigenvalues of elastic Neumann-Poincaré operators | Grigori Rosenblum (Chalmers Univ. Tech., St. Petersburg Univ., Sirius Univ.) : Polynomially compact pseudodifferential operators and eigenvalues of the NP operator in 3D elasticity | Yong-Gwan Ji (Korea Institute for Advanced Study) : Spectral properties of the Neumann-Poincaré operator on rotationally symmetric domains | Daisuke Kawgoe (Graduate School of Informatics, Kyoto University) : TBA | Sanghyeon Yu (Korea Univ. ) : TBA | Norito Yneyama (Shinshu Univ.) : Fundamental solutions in Columbeau algebra | Karl Mikael Perfekt (Norwegian Univ. of Science and Technology) : The plasmonic problem for polyhedra | Eric Bonnetier (Université Grenoble-Alpes) : Remarks about the Neumann-Poincaré spectrum of the square | Habib Ammari (ETH Zürich) : The fascinating world of subwavelength physics | ||||||||
66 | 216 | Recent Advances on interfaces dynamics modeling and simulation | Huaxiong Huang, Shixin Xu | Dynamics of the interface, like deformation and reaction, play an important role in biology like cell aggregation, and industry like water-proof material. Modeling and simulation of the dynamics of the interface are challenging since multiphase-flow and multiphysics fields are evolved. Recently, machine learning-based methods like Neural networks are introduced to solve the obtained nonlinear coupled system more efficiently. The purpose of this symposium is to bring together researchers working on modeling, theory, and numerics for interface problems, to share the latest advances in the field, and to provide a forum for joint collaborations. | Scientific minisymposium | Ming-Chih Lai (National Yang Ming Chiao Tung University Solving ) : Solving elliptic interface problems using neural networks | Ping Lin (university of Dundee) : A thermodynamically consistent phase-field model and an energy-law preserving method for vesicle motions and interaction | Xiaobo Gong (Shanghai Jiao Tong University) : An immersed boundary method for mass transfer through porous biomembranes under large deformations | Zhiliang Xu (University of Notre Dame) : Role of Cohesive Fiber-Fiber Interactions in Fibrin Networks under Tensile Load | Wenrui Hao (Penn. State University ) : A free boundary problem to model cardiovascular disease | Zhen Zhang (Southern University of Science and Technology) : Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines | Yiwei Wang (University of California, Riverside) : Variational Lagrangian schemes for interface problems: a discrete variational approach | Ming Zhong (Illinois Institute of Technology) : physics informed machine learning for solving reaction and transportation equation | Pei Liu (Florida Tech) : Mathematical Description of DNA Configuration in Bacteriophage Capsids | Xuelian Bao (Beijing Normal University, Zhuhai) : A deterministic particle-FEM discretization to micro-macro models of dilute polymeric fluids | Zilong Song (utah state university) : a bubble model for the gating of k channels | Yuzhe Qin (Shanxi University ) : A phase field model for a drop suspended in viscous liquids under the influence of electric fields | |||||||||
67 | 305 | Computational Modeling on Biomedical Diseases | Wenrui Hao, Wing-Cheong Lo, Leli Shahriyari | Several studies have demonstrated that mathematical and computational data analysis models are required to obtain a systematic understanding of the diseases and find effective treatments. As a result, many mathematical models using both stochastic and deterministic methods have been developed to study the evolutionary processes of the diseases' initiation and progression. Some of the results of these computational models were used to predict the outcome of various drugs to obtain optimal treatment strategies. This mini-symposium will bring together scientists who are interested in the mathematical modeling of different biomedical diseases, including COVID-19, AIDs, TB, cancer, etc. | Scientific minisymposium | Kelin Xia (Nanyang Technological University) : Mathematical AI for molecular data analysis | Yangjin Kim (Konkuk University) : Role of senescent tumor cells in building a cytokine shield in the tumor | Leili Shahriyari (University of Massachusetts Amberst) : Data driven mathematical modeling of cancer | Xiulan Lai (Renmin University of China) : Modeling about prediction and improvement of therapeutic efficacy of immune checkpoint inhibitors against cancer | Qiantong Liang (City University of Hong Kong) : Patch formation driven by stochastic effects of interaction between viruses and defective interfering particles | Zhiliang Xu (University of Notre Dame) : Phase-field model of mechanical stability of blood clot | Andreas Buttenschoen (University of Massachusetts Amberst) : Symmetries and bifurcations in non-local tissue models in development and disease | ||||||||||||||
68 | 342 | Localized waves in nonlinear discrete systems | Kazuyuki Yoshimura, Yusuke Doi | There are various spatially discrete nonlinear media in nature and engineering systems as diverse as solid crystal, metamaterial, and optical waveguide array, etc. Such media are mathematically modeled by nonlinear lattice dynamical systems. In both of experimental and mathematical systems, nonlinear localized waves such as solitons and discrete breathers are widely observed. The nonlinear localized waves have attracted much interest from the point of view of applied mathematics and that of physics problems such as thermalization and charge transport. So, mathematical and/or numerical analyses have been actively made. This MS aims at sharing and discussing recent results on the topic. | Scientific minisymposium | Kazuyuki Yoshimura (Tottori University) : Existence of multi-pulse discrete breathers in FPUT lattices | Yusuke Doi (Osaka University) : Structure of pairwise interaction symmetric lattice for moving discrete breather | Jesús Cuevas-Maraver (Universidad de Sevilla) : Soliton billiards | Hiromi Yasuda (JAXA) : Nonlinear waves in a multistable mechanical metamaterials | Masayuki Kimura (Setsunan University) : Moving Intrinsic Localized Modes in Magnetically Coupled Elastic Rod Array | Yosuke Watanabe (Setsunan University) : Experimental and numerical study on propagating nonlinear localized oscillation in a mass-spring chain | Sergej Flach (Institute for Basic Science) : Universality Classes for Nonlinear Wave Thermalization | Juan F. R. Archilla (Universidad de Sevilla) : Spectral properties of nonlinear excitations in semiclassical systems with charge transport | |||||||||||||
69 | 353 | Interpretable constrained tensor decompositions: models, algorithms, efficient implementations and applications | Axel Marmoret, Daniel M. Dunlavy, Jeremy E. Cohen | Tensor decompositions are a fundamental tool in the data sciences for extracting interpretable patterns, removing or reducing noise, and providing reduced-dimension or low-complexity models for tensor data. In recent years, significant progress has been made to propose and understand new constrained tensor models to aid in interpretability or to satisfy known constraints on the data. In this minisymposium, we present some of the state-of-the-art approaches to interpretable constrained tensor decompositions, including efficient inference algorithms with convergence guarantees, efficient implementations of these algorithms compatible with modern hardware, and application of these models to challenging data analysis problems across several domains. | Scientific minisymposium | Koby Hayashi (GeorgiaTech) : Speeding up Nonnegative Low-rank Approximations with Parallelism and Randomization | Derek DeSantis (Los Alamos National Laboratories) : Nonnegative Canonical Polyadic Decomposition with Rank Deficient Factors. | Rafal Zdunek (Wroclaw University of Science and Technology) : Incremental nonnegative tucker decomposition with block-coordinate descent and recursive approaches | Neriman Tokcan (Broad Institute) : A probabilistic nonnegative tensor factorization method for tumor microenvironment analysis | Carla Schenker (Simula Metropolitan) : PARAFAC2-based coupled matrix and tensor factorizations with constraints. | Jamie Haddock (Harvey Mudd College) : Hierarchical and neural nonnegative tensor factorizations. | Ruhui Jin (University of Wisconsin) : Scalable Symmetric Tucker Decomposition via Projected Gradient Descent | Nico Vervliet (KU Leuven) : A quadratically convergent proximal algorithm for nonnegative tensor decomposition | Clémence Prévost (University of LIlle) : Nonnegative Block-Term Decomposition with the β-divergence: Joint Data Fusion and Blind Spectral Unmixing | Izabel Aguilar (Stanford University) : A Factor Model of Multilayer Network Interdependence. | Daniel M Dunlavy (Sandia National Laboratories) : Constrained Tucker Decompositions and Conservation Principles for Direct Numerical Simulation Data Compression. | Jeremy Cohen (CREATIS, CNRS) : Introduction to nonnegative tensor decompositions: algorithms and applications. (first talk) | |||||||||
70 | 196 | Recent development of mathematical geophysics | Tsuyoshi Yoneda | The purpose of this minisymposium is to interact with mathematicians working on geophysics with various recent topics: large time behavior of solutions, machine learning approach, flow behavior on manifolds and meteorological analysis. These each topics have long research history. However, the tendency of the recent studies seems to be a broader point of view, not only from each own research field but also from an interdisciplinary perspective. | Scientific minisymposium | Quyuan Lin (University of California, Santa Barbara) : Error estimates for the physics-informed neural networks (PINNs) approximating the primitive equations | Ryo Takada (University of Tokyo) : Global solutions for the incompressible rotating MHD equations in the scaling critical Sobolev space | Tatsuhiko Miura (Hirosaki University) : Eigenvalue problem for the perturbation operator of the two-jet Kolmogorov type flow on the unit sphere with application to the enhanced dissipation | Daisuke Takasuka (University of Tokyo) : Multi-scale interaction of the tropical weather dynamics in a simplified three-dimensional model | |||||||||||||||||
71 | 306 | Mathematical approaches to nonlinear phenomena with singularities | Ken Shirakawa, Salvador Moll, Hiroshi Watanabe | In the advanced sciences and technologies, singularity has been one of characteristic keywords of complex and dynamic nonlinear phenomena, such as phase transitions, crystallization processes, image denoising processes, and so on. Also, in recent years, the theoretical/numerical methods to deal with such singularity have been developed by a lot of researchers, from various viewpoints. The objective of this mini-symposium is to let wide range of experts of this field meet together, and to exchange the latest hot topics on the mathematical models of nonlinear phenomena, such as solvability, regularities, stability, optimizations, and so on. | Scientific minisymposium | Ken Shirakawa (Chiba University) : Uniqueness problems of systems of nonlinear PDEs associated with 3D grain boundary motions | Salvador Moll (University of Valencia) : Variational models for segmentation in non-euclidian settings | Hiroshi Watanabe (Oita University) : Solvability of a phase-field model of 3D-grain boundary motion | Alexis Molino (Universidad de Almeria) : Elliptic problems involving a Hardy potential | Marcos Solera (Universidad Autonoma de Madrid / Universitat de Valencia) : Crystalline inverse mean curvature flow | Jose A. Iglesias (University of Twente) : Convergence of level sets in regularization of inverse problems | Lorenzo Giacomelli (Sapienza Uiversita di Roma) : Revisiting the contact-line paradox: thin-film equations with singular potentials | Noriaki Yamazaki (Kanagawa University) : Optimal control for shape memory alloys of the simplipied Fremond model in the one-dimensional case | Takeshi Fukao (Kyoto University of Education) : The Cahn--Hilliard equation with forward-backward dynamic boundary condition with related topics | Ryota Nakayashiki (Salesian Polytechnic) : Periodic solutions to phase-field models of planar grain boundary motions under dynamic boundary conditions | Shodai Kubota (Kanagawa University) : Convergence of numerical algorithms for optimization problems governed by Kobayashi--Warren--Carter systems | Daiki Mizuno (Chiba University) : Anisotropic pseudo-parabolic PDEs associated with crystallization processes | |||||||||
72 | 356 | Recent progress in variational problems with nonlocality | Cyrill Muratov, Matteo Novaga, Valeriy Slastikov | This minisymposium will discuss some recent developments in the analysis of variational problems from science and engineering in which nonlocal interactions have a pronounced effect. Examples will include geometric variational problems with long-range repulsion, topologically non-trivial spin configurations in magnetic materials, long-range interactions in phase transitions, capillary theory and theory of dislocations. | Scientific minisymposium | Serena Dipierro (University of Western Australia ) : Long-range phase transition equations | Enrico Valdinoci (University of Western Australia ) : Nonlocal capillarity theory | Lucia Scardia (Heriot Watt University) : Minimizers of anisotropic Coulomb energies in three dimensions | Anne Bernand-Mantel (INSA) : Skyrmion theory in magnetic thin films: the role of non-local magnetic dipolar interaction | Annalisa Cesaroni (University of Padua) : Minimal partitions for local and nonlocal energies | Massimiliano Morini (University of Parma) : A distributional approach to nonlocal geometric motions | Theresa Simon (University of Muenster) : The elastica functional as the critical Gamma-limit of the screened Gamow model | Adriana Garroni (University of Rome 1) : Asymptotics of the Nabarro-Peierls model in the critical regime | |||||||||||||
73 | 389 | Randomized methods for solving linear systems and eigenvalue problems | Jianlin Xia, Qiang Ye | Although the field of randomized numerical linear algebra has grown significantly, developments on accurate randomized solvers only start to emerge in recent years. This minisymposium intends to bring together researchers to exchange ideas on producing fast and accurate randomized solvers, studying their performance, and exploring new applications. We will specifically focus on randomized methods for solving linear systems and eigenvalue problems and on randomized strategies that can produce reliable high-quality solutions or approximations. Some topics include randomized iterative solvers, preconditioning, matrix approximations, low-rank compression, and eigenvalue detection. Applications to PDE solutions, machine learning, and data analysis will also be discussed. | Scientific minisymposium | Jianlin Xia (Purdue University) : High-accuracy Nystrom methods for fast low-rank approximations | Ming Gu (UC Berkeley) : Adversarially robust SVDs and their efficient computations | Victor Pan (CUNY Lehman) : Superfast randomized iterative refinement of low rank approximation of a matrix | Arvind Saibaba (North Carolina State University) : Randomized low-rank approximations beyond Gaussian random matrices | Laura Grigori (Inria) : Randomization techniques for solving linear systems and eigenvalue problems | Sabine Le Borne (Technische Universitat Hamburg) : Relaxation in low-rank updates of Schur complement preconditioners in fluid flow problems | Zhongyuan Chen (Purdue University) : Accurate randomized indicator eigenvalue solution for symmetric matrices | Yuji Nakatsukasa (University of Oxford) : Randomized methods (tentative) | Qiang Ye (University of Kentucky) : Randomized methods (tentative) | David Woodruff (Carnegie Mellon University) : Randomized methods (tentative) | Mateo Diaz (Johns Hopkins University) : Fast and efficient Kernel Ridge Regression preconditioning | Diana Halikias (Cornell University) : Matrix recovery using randomized matrix-vector products | |||||||||
74 | 276 | Interplay of Numerical and Analytical Methods in Nonlinear PDEs | Sören Bartels, Diane Guignard, Christof Melcher | Devising reliable numerical schemes and analytically understanding fine properties of solutions of nonlinear partial differential equations are challenging mathematical tasks. Theoretically and practically relevant examples are geometrically constrained PDEs such as harmonic maps and isometric bending problems. Modern applications arise in the development of new storage technologies and micro tools. Numerical simulations provide valuable experimental insight that can motivate analytical results, e.g. about singularities. Conversely, stability results for solutions lead to convergence theories for numerical schemes. The minisymposium aims at bringing together scientists from analysis and numerics working on nonlinear PDEs in order to inspire new mathematical developments. | Scientific minisymposium | Harbir Antil (George Mason University) : Role of optimization and PDEs in infrastructure and healthcare | Carlos Garcia-Cervera (UC Santa Barbara) : Hartree-Fock theory with a self-generated magnetic field | Chunxi Jiao (UNSW Sydney) : Regularised stochastic Landau-Lifshitz equations and their application in numerical analysis | Alex Kaltenbach (University of Freiburg) : Error analysis for a Crouzeix-Raviart approximation of the p-Dirichlet problem | Omar Lakkis (University of Sussex) : Gradient and Hessian recovery methods in the numerical solution of fully nonlinear elliptic PDEs | Jiashun Hu (The Hong Kong Polytechnic University) : Evolving finite element methods with anartificial tangential velocity for mean curvature flow and Willmore flow | Endre Süli (Oxford University) : Finite element approximation of implicitly constituted non-Newtonian fluids | Shuo Yang (Tsinghua University) : Convergent finite element approximation of liquid crystal polymer networks | |||||||||||||
75 | 286 | Low-Reynolds-number swimming: modelling, analysis and applications | Jessie Levillain, Clément Moreau | Swimming in a fluid at microscopic scale is at the heart of many questions pertaining to biology, soft matter physics and micro-robotics. It usually involves a complex balance of hydrodynamics, elasticity and internal activity, yielding a wide range of issues requiring various mathematical viewpoints, from modelling the fluid-structure interaction to optimal propulsion and efficient control of the swimmer's trajectory, with perspectives on future applications to biomedical micro-robots. This minisymposium brings together a group of young and experienced researchers to share their contributions to some of the latest developments in the theoretical and numerical analysis of micro-swimmers. | Scientific minisymposium | Jessie Levillain (CMAP, Ecole Polytechnique) : Mathematical models for flagellar activation in low-Reynolds-number swimmers | Clement Moreau (RIMS, Kyoto University) : Control and controllability of microswimmers: theory and applications | Antonio DeSimone (SISSA) : Some recent problems in biological and bio inspired locomotion at low Reynolds number | Laurel Ohm (Princeton University) : Results on classical elastohydrodynamics for a swimming filament | On Shun Pak (Santa Clara University) : Dynamics of a micro-roller in a shear-thinning fluid | Benjamin Walker (UCL) : Multi-timescale methods and minimal models of microswimming | Marta Zoppello (Politecnico di Torino) : Recent trends in micro-swimming | Yizhar Or (Technion) : Nonlinear dynamics, bifurcations and stability transitions in motion of periodically-actuated micro-swimmers | |||||||||||||
76 | 232 | Theoretical foundations and algorithmic innovation in operator learning | Samuel Lanthaler, Jakob Zech | Many interesting phenomena in science and engineering involve operators mapping functions to functions. The application of data-driven tools from machine learning to scientific computing has thus given rise to the rapidly emerging field of operator learning. Despite encouraging practical successes, our understanding of these methods is still in its infancy, leaving important open questions to be addressed, including approximation guarantees, learning in data-scarce regimes, and understanding the limitations of current approaches and overcoming them. This minisymposium brings together researchers at the intersection of machine learning, approximation theory and PDEs to discuss theoretical foundations and recent algorithmic developments in this field. | Scientific minisymposium | Hao Liu (Hong Kong Baptist University) : Deep Learning Theories for Problems with Low-Dimensional Data Structures | Paris Perdikaris (University of Pennsylvania) : NOMAD: Nonlinear Manifold Decoders for Operator Learning | Tom O'Leary-Roseberry (University of Texas at Austin) : Derivative learning in high dimensions | Tim De Ryck (ETH Zurich) : Generic bounds on the approximation error for physics-informed (and) operator learning | Nikola Kovachki (NVIDIA) : Scalable Operator Learning for Weather Prediction and Beyond | Zecheng Zhang (Purdue University) : BEL, basis enhanced learning, a mesh-free operator learning framework | Hrushikesh Mhaskar (Claremont Graduate University) : Local approximation of operators | Christoph Schwab (ETH Zurich) : Spectral Operator Surrogates | Gitta Kutyniok (Ludwig-Maximilians-Universität München) : Overcoming Fundamental Limitations of Current AI Approaches: From Digital to Analog Hardware | Wuzhe Xu (University of Massachusetts Amherst) : Long-time predictions of evolution equations with transfer learning enhanced DeepONet | Jakob Zech (Universität Heidelberg) : Expression rate bounds for neural operators | Samuel Lanthaler (California Institute of Technology) : Coupled oscillators as universal approximators of operators | |||||||||
77 | 404 | Large-Scale Eigenvalue Computations and Optimization | Kensuke Aishima, Emre Mengi | The minisymposium aims at presenting a few recent developments in large-scale eigenvalue computations and optimization, as well as investigating the intimate connection between them. Of particular interest is not only standard and generalized eigenvalue problems but also nonlinear eigenvalue problems, multiparameter eigenvalue problems, singular value decompositions, and their applications such as those in data science and control theory. Orthogonal transformations and projections to proper subspaces play vital roles for computing and optimizing eigenvalues numerically in the large-scale setting. The minisymposium focuses on the use of such tools in modern algorithms for large-scale eigenvalue computations, optimization, and applications. | Scientific minisymposium | Kensuke Aishima (Hosei University) : Consistent estimation for a regression model based on singular value decompositions | Elias Jarlebring (KTH Royal Institute of Technology) : The NEP approach to the p-spectral clustering optimization problem | Emre Mengi (Koç University) : On the estimation of the dominant poles of a large-scale descriptor system | Tim Mitchell (Queens College / CUNY) : Fast computation and optimization of eigenvalues for frequency-based damping of second-order systems | Bor Plestenjak (University of Ljubljana) : Rectangular multiparameter eigenvalue problems | Brian Sutton (Randolph-Macon College) : Commutativity in Large-Scale Eigenvalue Computation | Roel Van Beeumen (Lawrence Berkeley National Laboratory) : Optimizing orthogonality in large-scale tensor networks | Matthias Voigt (UniDistance Suisse) : Interpolatory subspace methods for nonlinear eigenvalue problems | |||||||||||||
78 | 262 | numerical analysis, modeling and applications in phase-field its relevant methods | Xiaofeng Yang; Xiaoming He; Jia Zhao | The phase field method and its relevant extensions have been widely used in various applications, including phase separations, crystal growth, and solid fracture dynamics. Meanwhile, it is still an active research field to develop thermodynamically consistent phase field models, design accurate, efficient, and stable numerical algorithms for these models, and apply them to various application problems. This mini-symposia brings together experts with diverse backgrounds in numerical analysis, PDE modeling and mathematical biology, machine learning, and data science, but with the same interest in phase field method and its relevant extension. Through this mini-symposia, we aim to foster active interdisciplinary discussions. | Scientific minisymposium | Qi Wang (University of South Carolina) : Phase field models for electrolytic fluid flows in confined geometries | Chun Liu (Illinois Institute of Technology) : Energetic Variational Approaches (EnVarA) for Active Materials and Reactive Fluids | Xiangxiong Zhang (Purdue University) : Recent development of monotonicity of spectral element methods with applications to compressible Navier-Stokes equations | Pengtao Yue (Virginia Tech) : Thermodynamically consistent phase-field modeling of three-phase solidification | Zhonghua Qiao (Hong Kong Polytechnic University) : Energy stability analysis and error estimate of a maximum bound principle preserving scheme for the dynamic Ginzburg--Landau equations under the temporal gauge | Shu Ma (Hong Kong Polytechnic University) : High-order exponential integrators for semilinear parabolic equations with nonsmooth initial data | Giordano Tierra-Chica (University of North Texas) : Efficient Numerical Schemes for a Thermodynamically Consistent Model for Two-Phase Incompressible Flows with Different Densities | Yibao Li (Xi'an Jiaotong University) : TBA | Xiaofeng Yang (University of South Carolina) : Efficient algorithms for the flow-coupled anisotropic dendritic crystal model | Xiaoming He (Missouri University of Science and Technology) : Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities | Jia Zhao (Utah State University) : Solving and learning phase field models using the modified Physics Informed Neural Networks | Jie Shen (Purdue University) : Structure preserving schemes for complex nonlinear systems | |||||||||
79 | 280 | Canonical Scattering Theory and Application | Lorna Ayton | A resurging interest in metamaterials, in particular acoustic metamaterials, comprising of multi-scale rigid, porous, and/or elastic materials with subwavelength resonators, renews the need for mathematical theory capable of dealing with wave interactions with such objects. This session will comprise of advances across a range of canonical scattering and diffraction problems applicable to acoustic metamaterials. This lays the foundation for understanding and exploiting these materials across a range of industrial applications such as sound absorbent linings, acoustic cloaking devices, and acoustic lensing. | Scientific minisymposium | Shiza Naqvi (University of Cambridge) : Infinite diffraction gratings | Huansheng Chen (Lehigh University) : Acoustic emission of a vortex ring near a porous edge | Sonya Tiomkin (Lehigh University) : Revisiting the frozen gust assumption through the aeroacoustic scattering of spatially varying wavepackets by a semi-infinite plate | Georg Maierhofer (Sorbonne University) : Oversampled collocation methods as a simple and efficient tool in wave scattering problems | Andrew Horning (MIT) : Spectral computations and defect scattering in disordered topological insulators | Benshuai Lyu (king University) : An analytical Green’s function for scattering from a serrated edge | Matthew Nethercote (University of Manchester) : Scattering from a wedge of point scatterers | ||||||||||||||
80 | 297 | Wave scattering problems: numerical methods with applications | Wangtao Lu, Tao Yin | Wave scattering problems in acoustics, elastodynamics and electromagnetics are important in a large number of applications wherein challenging mathematical and numerical issues require sophisticated methods and techniques to resolve. The study of numerical methods for solving wave scattering problems has been heavily focused by researchers in both mathematical and engineering committees. This symposium devotes to combining experts from different countries and discussing some latest advances in computational modelling and simulation of complex wave phenomena with their application to real-world problems. | Scientific minisymposium | Oscar Bruno (California Institute of Technology) : Efficient numerical solvers for frequency- and time-domain electromagnetic simulation, optimization and design | Jianliang Qian (Michigan State University) : Fast butterfly compressed Hadamard-Babich integrators for Helmholtz equations | Xue Jiang (Beijing University of Technology) : A PML method for signal-propagation problems in axons | Guanghui Hu (Nankai University) : Inverse wave-number-dependent source problems | Zitao Mai (City University of Hong Kong) : Structural symmetry and Fabry-Perot bound states in the continuum: a numerical study | Daniel Massatt (Louisiana State Univesity) : Electronic structure of incommensurate 2D heterostructures with mechanical relaxation | Bo Wang (Hunan Normal University) : Fast multipole method for Maxwell's equations in layered media | Liwei Xu (University of Electronic Science and Technology of China) : Coupling of finite element and boundary element methods for the solution of wave scattering in the complex medium | Ruming Zhang (Karlsruher Institut für Technologie) : Convergence analysis of perfectly matched layers for scattering problems in periodic structures | Junshan Lin (Auburn University) : Dirac points for the honeycomb lattice with impenetrable obstacles | |||||||||||
81 | 323 | Integrating rough paths into domain applications | Terry Lyons, Lingyi Yang | Streamed data are ubiquitous. In this context, a key challenge is to quantify our understanding and account for the interaction between channels. Rough path theory provides new insights for producing actionable inference for multimodal path-like data. The path signature is a mathematical object with desirable approximation properties and geometric interpretation which leads to more effective features and analysis. Further, the expected signature provides a powerful way to describe empirical measures on streams. Applications include award-winning machine learning methods in healthcare and finance, as well as commercial-quality Chinese handwriting software. We expose new challenges and work on applications in this area. | Scientific minisymposium | Lingyi Yang (Alan Turing Institute) : Economic Nowcasting with signatures | Paola Arrubarrena (Imperial College London) : Outlier Detection on Radio Astronomy Data | Bruno Dupire (Bloomberg) : Signatures and Functional Expansions | Elena Gal (University of Oxford) : Addressing Bias Adversarially in online learning | Blanka Horvath (University of Oxford) : Rough path techniques for pricing and hedging path-dependent options | Mohamed Ibrahim (University of Leeds) : Signature-Based Representation of Events in Video Streams | Florian Krach (ETH Zurich) : Path-Dependent Neural Jump ODEs | Darrick Lee (University of Oxford) : Capturing Graphs with Hypo-Elliptic Diffusions | Maud Lemercier (University of Oxford) : Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous Spatiotemporal Dynamics | Hang Lou (University College London) : Path Development Network with Finite-dimensional Lie Group | Jason Rader (University of Oxford) : Reversible Numerical Solvers for Improved Neural ODE/CDE Training | Benjamin Walker (University of Oxford) : Lipschitz Neural Networks and Neural Controlled Differential Equations | |||||||||
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