Thematic Sessions
Thematic sessions aim to bring together experts and enthusiasts alike to share their insights, research findings, and applications related to free boundary problems. By exploring both their theoretical foundations and practical implications, participants gain a deeper understanding of various physical phenomena across diverse fields, including theoretical advances, computational approaches, interdisciplinary applications, open problems, and future directions.
Free Boundary Problems in Compressible Fluid Mechanics and Related Areas
Coordinators:
Gui-Qiang G. Chen (University of Oxford, England)
Mikhail Feldman (University of Wisconsin, USA)
Wei Xiang (University of Hong Kong, Hong Kong)
Gui-Qiang G. Chen (University of Oxford, England)
Mikhail Feldman (University of Wisconsin, USA)
Wei Xiang (University of Hong Kong, Hong Kong)
Speaker: Mikhail Feldman (University of Wisconsin-Madison)
Title: Self-similar solutions to two-dimensional Riemann problems and transport equations
Title: Self-similar solutions to two-dimensional Riemann problems and transport equations
Speaker: Helena Judith Nussenzveig (Universidade Federal do Rio de Janeiro, Brazil)
Title: Absence of anomalous dissipation for vortex sheet evolution in 2D incompressible flows
Title: Absence of anomalous dissipation for vortex sheet evolution in 2D incompressible flows
Speaker: Jie Kuang (Innovation Academy for Precision Measurement Science and Technology)
Title: Hypersonic similarity for steady hypersonic flow over two-dimensional Lipschitz wedge
Title: Hypersonic similarity for steady hypersonic flow over two-dimensional Lipschitz wedge
Speaker: Tian-Yi Wang (Wuhan University of Technology)
Title: On the asymptotic behavior of Subsonic Flows with Large Vorticity and Characteristic Discontinuities
Title: On the asymptotic behavior of Subsonic Flows with Large Vorticity and Characteristic Discontinuities
Speaker: Wladimir Neves (Universidade Federal do Rio de Janeiro, Brazil)
Title: The study of compressible Euler equations in two spatial
variables for non-potential flows, and an analysis of the pseudo-subsonic
regime in the potential case
Title: The study of compressible Euler equations in two spatial
variables for non-potential flows, and an analysis of the pseudo-subsonic
regime in the potential case
Speaker: Wei Xiang (City University of Hong Kong, Hong Kong)
Title: Convexity, uniqueness, and stability of the regular shock reflection-diffraction problem
Title: Convexity, uniqueness, and stability of the regular shock reflection-diffraction problem
Free Boundaries in Fractional Diffusion
Coordinators:
Juan Pablo Bortagharay (Universidad de la República - Uruguai)
Marvin Weidner (Universitat de Barcelona, Spain)
Juan Pablo Bortagharay (Universidad de la República - Uruguai)
Marvin Weidner (Universitat de Barcelona, Spain)
Speake: Artur Rutkowski (Wroclaw University of Science and Technology, Poland)
Title: Fractional heat equation in bounded Lipschitz sets
Title: Fractional heat equation in bounded Lipschitz sets
Speaker: Rubing Han (Peking University, China)
Title: A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimate and Application
Title: A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimate and Application
Speaker: Juan Pablo Borthagaray (Universdad de la República, Uruguay)
Title: Energy, pointwise, and free boundary approximation of the obstacle problem for nonlocal operators
Title: Energy, pointwise, and free boundary approximation of the obstacle problem for nonlocal operators
Speaker: João Vítor da Silva (UNICAMP, Brazil)
Title: An obstacle problem for the p-fractional Laplacian and its limit as p \to \infty
Title: An obstacle problem for the p-fractional Laplacian and its limit as p \to \infty
Speaker: Marvin Weidner (Universitat de Barcelona, Spain)
Title: Regularity for the nonlocal one-phase problem
Title: Regularity for the nonlocal one-phase problem
Speaker: Hayk Mikayeylan (University of Nottingham Ningbo China)
Title: Fractional Rearrangement Problems and Nonlocal Obstacles
Title: Fractional Rearrangement Problems and Nonlocal Obstacles
Speaker: Lisa Santos (Universidade do Minho)
Title: Nonlocal Lagrange multipliers and transport densities
Title: Nonlocal Lagrange multipliers and transport densities
Free Boundaries in Materials Science
Coordinator:
Soeren Bartels (University of Freiburg, Germany)
Ian Tobasco (Rutgers University, USA)
Soeren Bartels (University of Freiburg, Germany)
Ian Tobasco (Rutgers University, USA)
Speaker: Joseph Paulsen (Syracuse University, USA)
Title: The interplay of gross and fine features in flexible sheets
Title: The interplay of gross and fine features in flexible sheets
Speaker: Samuel Wallace (Rutgers University, USA)
Title: Origami as a limit of confined thin elastic sheets
Title: Origami as a limit of confined thin elastic sheets
Speaker: Roberta Marziani (L'Aquila, Italy)
Title: $\Gamma$-convergence for plane to wrinkles transition problem
Title: $\Gamma$-convergence for plane to wrinkles transition problem
Speaker: Peter Gladbach (Bonn, Germany)
Title: Convex shells, the Monge-Ampere equation, and the emergence of ridges
Title: Convex shells, the Monge-Ampere equation, and the emergence of ridges
Speaker: Diane Guignard (Ottawa, Canada)
Title: Finite Element Methods for the Stretching and Bending of Thin Structures with Folding
Title: Finite Element Methods for the Stretching and Bending of Thin Structures with Folding
Speaker: Daniel Duffy (Cambridge, UK)
Title: Lifting, Loading, and Buckling in Conical Shells
Title: Lifting, Loading, and Buckling in Conical Shells
Speaker: Christoph Smoch (Bonn, Germany)
Title: Two-Scale Finite Element Approximation of a Homogenized Plate Model
Title: Two-Scale Finite Element Approximation of a Homogenized Plate Model
Speaker: Ian Tobasco (Rutgers University, USA)
Title: Homogenization of kirigami and origami-based mechanical metamaterials
Title: Homogenization of kirigami and origami-based mechanical metamaterials
Free boundary problems in Life Sciences
Coordinators:
John King (University of Nottingham - UK)
John King (University of Nottingham - UK)
Speaker: Daniel Duffy (University of Michigan, USA)
Title: Geometry and mechanics of shape-programmed shells
Title: Geometry and mechanics of shape-programmed shells
Speaker: Patrik Knopf (University of Regensburg, Germany)
Title: On multiphase Cahn--Hilliard--Darcy/Brinkman models for stratified tumor growth with chemotaxis effects
Title: On multiphase Cahn--Hilliard--Darcy/Brinkman models for stratified tumor growth with chemotaxis effects
Speaker: Andrea Genovese de Oliveira (UnB, Brazil)
Title: Asymptotic and Stability Analysis of a Two Dimensional Two-Phase Model of Avascular Tumour Growth
Title: Asymptotic and Stability Analysis of a Two Dimensional Two-Phase Model of Avascular Tumour Growth
Interfaces and Free Boundaries in Machine Learning
Coordinators:
Tim Laux (University of Regensburg - Germany)
Leonid Berlyand (Penn State University - USA)
Tim Laux (University of Regensburg - Germany)
Leonid Berlyand (Penn State University - USA)
Speaker: Matt Jacobs (UC Santa Barbara)
Title: Adversarial training and the generalized Wasserstein barycenter problem
Title: Adversarial training and the generalized Wasserstein barycenter problem
Speaker: Fabius Kramer (University of Bonn)
Title: An efficient volume-constrained MBO scheme for data clustering and classification
Title: An efficient volume-constrained MBO scheme for data clustering and classification
Speaker: Anton Ullrich (Max Planck Institute for Mathematics in the Sciences)
Title: Convergence of a Median filter for level set mean curvature flow
Title: Convergence of a Median filter for level set mean curvature flow
Speaker: Matthew Thorpe (University of Warwick and ELLIS)
Title: Rates of Convergence for Cheeger Cuts on Point Clouds
Title: Rates of Convergence for Cheeger Cuts on Point Clouds
Lower dimensional free boundary problems
Coordinators:
Mariana Smit Vega Garcia (Western Washington University, USA)
Mark Allen (Brigham Young University, USA)
Mariana Smit Vega Garcia (Western Washington University, USA)
Mark Allen (Brigham Young University, USA)
Speaker: Mark Allen (Brigham Young University, USA)
Title: Quantitative stability for the Resolvent
Title: Quantitative stability for the Resolvent
Speaker: João Vítor da Silva (UNICAMP, Brazil)
Title: Sharp regularity for an obstacle problem for quasilinear elliptic PDEs
Title: Sharp regularity for an obstacle problem for quasilinear elliptic PDEs
Speaker: Makson Santos (Universidade de Lisboa-IST)
Title: Regularity properties for spectral partition problems with volume and inclusion constraints
Title: Regularity properties for spectral partition problems with volume and inclusion constraints
Speaker: Giovanni Gravina (Arizona State University)
Title: Thin Obstacle Problems for the Bilaplacian
Title: Thin Obstacle Problems for the Bilaplacian
Numerical methods and analysis for free and moving boundary/interface/surface problems
Coordinators:
Buyang Li (The Hong Kong Polytechnic University, Hong Kong)
Buyang Li (The Hong Kong Polytechnic University, Hong Kong)
Speaker: Soeren Bartels (Albert-Ludwigs-University Freiburg)
Title: Babuska's paradox in linear and nonlinear bending theories
Title: Babuska's paradox in linear and nonlinear bending theories
Speaker: Chunmei Su (Tsinghua University, China)
Title: Parametric finite element methods for geometric flows
Title: Parametric finite element methods for geometric flows
Speaker: Rong Tang (The Hong Kong Polytechnic University, Hong Kong)
Title: Convergent finite element approximations of surface evolution with relaxed minimal deformation
Title: Convergent finite element approximations of surface evolution with relaxed minimal deformation
Speaker: Dennis Trautwein (Universität Resenburg, Germany)
Title: Parametric finite element approximation of two-phase Navier--Stokes flow with viscoelasticity
Title: Parametric finite element approximation of two-phase Navier--Stokes flow with viscoelasticity
Speaker: Sebastian Myrback (KTH, Switzerland)
Title: A High-Order Conservative Cut Finite Element Method for Problems in Time-Dependent Domains
Title: A High-Order Conservative Cut Finite Element Method for Problems in Time-Dependent Domains
Phase field models
Coordinators:
Patrik Knopf (University of Regensburg)
Andrea Giorgini (Politecnico di Milano)
Patrik Knopf (University of Regensburg)
Andrea Giorgini (Politecnico di Milano)
Speaker: Alice Marveggio (Hausdorff Center for Mathematics, University of Bonn)
Title: A Gibbs-Thomson relation for heterogeneous phase separation
Title: A Gibbs-Thomson relation for heterogeneous phase separation
Speaker: Jonas Stange (University of Regensburg, Germany)
Title: A convective bulk-surface Cahn–Hilliard model with singular potentials
Title: A convective bulk-surface Cahn–Hilliard model with singular potentials
Speaker: Charles Elbar (Sorbonne Université)
Title: Incompressible limit of a Cahn-Hilliard equation
Title: Incompressible limit of a Cahn-Hilliard equation
Speaker: Jakub Skrzeczkowski (University of Oxford)
Title: Degenerate Cahn-Hilliard equation: from nonlocal to local
Title: Degenerate Cahn-Hilliard equation: from nonlocal to local
Speaker: Robert Lasarzik (Weierstrass Institute for Applied Analysis and Stochastics, Berlin)
Title: Phase separation in a viscoelastoplastic fluid model in geophysics
Title: Phase separation in a viscoelastoplastic fluid model in geophysics
Regularity issues in Free Boundary Problems
Coordinators:
Damião Araújo (Universidade Federal da Paraíba - Brazil)
Makson Santos (Universidade de Lisboa - Portugal)
Edgard Pimentel (Universidade de Coimbra - Portugal)
Damião Araújo (Universidade Federal da Paraíba - Brazil)
Makson Santos (Universidade de Lisboa - Portugal)
Edgard Pimentel (Universidade de Coimbra - Portugal)
Speaker: José Miguel Urbano (KAUST, Saudi Arabia & CMUC, Portugal)
Title: Sharp regularity for a parabolic fully nonlinear quenching problem
Title: Sharp regularity for a parabolic fully nonlinear quenching problem
Speaker: María Soria-Carro (Rutgers University)
Title: A parabolic free boundary problem arising from the jump of conductivity
Title: A parabolic free boundary problem arising from the jump of conductivity
Speaker: Dennis Kriventsov (Rutgers University, USA)
Title: Free boundary regularity for general semilinear equations
Title: Free boundary regularity for general semilinear equations
Speaker: Rafayel Teymurazyan (KAUST, Saudi Arabia & CMUC, Portugal)
Title: Regularity results for nonlinear systems
Title: Regularity results for nonlinear systems
Speaker: Thialita Nascimento (IOWA State University, USA)
Title: A Geometric Approach to Regularity in Degenerate/Singular Elliptic Equations
Title: A Geometric Approach to Regularity in Degenerate/Singular Elliptic Equations
Recent Applications of Quasi-variational Inequalities
Coordinators:
José Francisco Rodrigues (Universidade de Lisboa, Portugal)
Carlos Rautenberg (George Mason University, USA)
José Francisco Rodrigues (Universidade de Lisboa, Portugal)
Carlos Rautenberg (George Mason University, USA)
Speaker: Carlos Rautenberg (George Mason University)
Title: Quasi-variational Inequalities on Measure Spaces with Mixed-Boundary Conditions
Title: Quasi-variational Inequalities on Measure Spaces with Mixed-Boundary Conditions
Speaker: Pedro Campos (CMAFcIO, Faculdade de Ciências da Universidade de Lisboa)
Title: Implicit two-phase obstacle-type problems in fractional generalized Orlicz spaces
Title: Implicit two-phase obstacle-type problems in fractional generalized Orlicz spaces
Speaker: Domingo Tarzia (Universidad Austral and CONICET, Argentina)
Title: Optimal Control Problems for Elliptic Variational and Hemivariational Inequalities and their Asymptotic Behaviour
Title: Optimal Control Problems for Elliptic Variational and Hemivariational Inequalities and their Asymptotic Behaviour
Speaker: José Francisco Rodrigues (CMAFcIO/Ciências/ULisboa, Portugal)
Title: Quasi-Variational Solutions to Thick Flows
Title: Quasi-Variational Solutions to Thick Flows
Stability and bifurcation in FB models in Life Sciences and Fluids
Coordinators:
Tim Laux (University of Regensburg, Germany)
Leonid Berlyand (Penn State University, USA)
Tim Laux (University of Regensburg, Germany)
Leonid Berlyand (Penn State University, USA)
Speaker: Carles Blanch-Mercader (CNRS, Institut Curie)
Title: Conical Surface Minimizers
in Variational Models of Biofilms
Title: Conical Surface Minimizers
in Variational Models of Biofilms
Speaker: Mykhailo Potomkin (University of California, Riverside)
Title: Swimming in nematic liquid crystal: well-posedness and homogenization
Title: Swimming in nematic liquid crystal: well-posedness and homogenization
Speaker: Leonid Berlyand (Penn State University, USA)
Title: Stability and Change of Bifurcation in FBP Models of Cell Motility
Title: Stability and Change of Bifurcation in FBP Models of Cell Motility
Speaker: Alex Safsten (University of Maryland, USA)
Title: Nonlinear stability and non-self adjointness in a free boundary model of cell motion
Title: Nonlinear stability and non-self adjointness in a free boundary model of cell motion
Speaker: Rodolfo Brandao (Princeton Universit)
Title: Retraction dynamics of highly viscous liquid sheets
Title: Retraction dynamics of highly viscous liquid sheets
Speaker: Oleksii Krupschytskyi (Penn State University, USA)
Title: Bifurcations in a 2D Free-Boundary PDE Model of Cell Motion
Title: Bifurcations in a 2D Free-Boundary PDE Model of Cell Motion
Speaker: Minakshi Ashok (Caltech)
Title: Mathematics of Biological Structures
Title: Mathematics of Biological Structures
Speaker: Patrik Knopf (University of Regensburg, Germany)
Title: The Cahn-Hilliard equation with dynamic boundary conditions: Long-time dynamics and stability of attractors
Title: The Cahn-Hilliard equation with dynamic boundary conditions: Long-time dynamics and stability of attractors
Interface in data science
Coordinators:
Yves Van Gennip (TU Delft)
Yoshikazu Giga (The University of Tokyo)
Mathew Thorpe (University of Warwick and ELLIS)
Yves Van Gennip (TU Delft)
Yoshikazu Giga (The University of Tokyo)
Mathew Thorpe (University of Warwick and ELLIS)
Speaker: Samuel Mercer (TU Delft)
Title: TBA
Title: TBA
Speaker: Matt Jacobs (Purdue)
Title: A geometric view on probabilistically robust learning
Title: A geometric view on probabilistically robust learning
Speaker: Adrien Weihs (UCLA, USA)
Title: Asymptotic consistency analysis of (hyper-)graph algorithms in semi-supervised learning
Title: Asymptotic consistency analysis of (hyper-)graph algorithms in semi-supervised learning