Conveners
Plenary Talk: Martin Burger
- Michael Hintermüller (Weierstrass Institute Berlin)
Plenary Talk: Maria Giovanna Mora
- Ulisse Stefanelli (Unviersity of Vienna)
Plenary Talk: José Francisco Rodrigues
- Michael Hintermüller (Weierstrass Institute Berlin)
Plenary Talk: Julian Fischer
- Helmut Abels (Universität Regensburg)
Plenary Talk: Joaquim Serra
- Damião J. Araujo (Universidade Federal da Paraíba)
Plenary Talk: Matteo Novaga
- José Francisco Rodrigues (Universidade de Lisboa)
Plenary Talk: Senjo Shimizu
- Hans Knüpfer (University of Heidelberg)
Plenary Talk: Chandrasekhar Venkataraman
- Axel Voigt
Plenary Talk: Klaus Deckelnick
- Robert Nürnberg
Plenary Talk: Balázs Kovács
- Buyang Li (The Hong Kong Polytechnic University)
Plenary Talk: Maxim Olshanskii
- Michael Hinze (Universität Koblenz)
Plenary Talk: Welcoming and Opening
- There are no conveners in this block
Plenary Talk: Closing Remarks
- There are no conveners in this block
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Martin Burger07/09/2026, 11:30Plenary Talks
This talk will give an overview of the apperance of phase-separation effects in nonlinear degenerate transpost-cross-diffusion models. Models of this kind can be found
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in a variety of applications from physics over biology to social science. We will provide some examples and discuss the main mechanisms of competion between the degenerate diffusion and group-specific transport properties.... -
Prof. Maria Giovanna Mora (Università di Pavia)07/09/2026, 16:30Plenary Talks
Nonlocal interaction energies play a central role in describing the collective behavior of large particle systems in a wide range of applications. In this lecture we will focus on interactions that are short-range repulsive and long-range attractive. We will review the key results on the existence and uniqueness of minimizers, and present their explicit characterization in the classical case...
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José Francisco Rodrigues (Universidade de Lisboa)07/09/2026, 18:00Plenary Talks
The interdisciplinary field of free-boundary problems – that is, problems arising in a wide variety of phenomena in nature, science and technology where the boundaries delimiting the domains are not known a priori and constitute unknowns to be determined – saw remarkable developments in their mathematical treatment during the last half a century.
Seeking to contextualise this class of...
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Prof. Julian Fischer08/09/2026, 09:00Plenary Talks
The relative energy/entropy method has been a powerful tool for establishing (weak-strong) uniqueness, stability, and singular limits in continuum mechanics ever since its inception in the 70s by Dafermos and DiPerna. However, its application to interface evolution problems has faced a major obstacle in the form of the lack of strict convexity of the interface area functional. Recently, it has...
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JOAQUIM SERRA (ETH ZURICH)09/09/2026, 09:00Plenary Talks
In many nonconvex variational free-boundary problems, regularity theory has traditionally focused on energy minimizers. Yet stable—and, more generally, finite-index—critical points arise naturally in physical models and geometric variational constructions, and are often just as relevant. A basic question is therefore: how much of the regularity theory for minimizing free boundaries survives...
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Matteo Novaga (University of Pisa)09/09/2026, 16:30Plenary Talks
The classical Kelvin problem seeks the optimal equal-volume partition of $\mathbb R^d$ minimizing boundary surface area. In this talk, we present recent progress on periodic minimizing partitions in both isotropic and anisotropic settings.
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Focusing first on two-dimensional configurations, we analyze optimal planar tilings and extend these techniques to higher dimensions, exploring... -
Senjo Shimizu (Kyoto University)10/09/2026, 09:00Plenary Talks
A time-dependent free surface problem for the Navier-Stokes equations which describes the motion of viscous fluid in a domain close to the half-space is considered. We discuss well-posedness of the problem for an initial data in scale invariant critical Besov spaces. Our proof is based on maximal $L^1$-regularity of the corresponding Stokes problem in the half-space. Utilizing the almost...
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Chandrasekhar Venkataraman (University of Sussex)10/09/2026, 16:30Plenary Talks
In the first part of the talk, we consider coupled bulk-surface reaction-diffusion systems modelling receptor-ligand dynamics on an evolving domain. In biologically relevant regimes, we derive various novel free-boundary problems as limits of the model. These limiting free-boundary problems may be formulated as Stefan-type problems on an evolving hypersurface. Our results are new even in the...
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Klaus Deckelnick (Otto-von-Guericke-Universitaet Magdeburg)10/09/2026, 17:30Plenary Talks
Mean curvature flow evolves a family of hypersurfaces in such a way that the normal velocity is given by the mean curvature at each point of the surface. This fundamental geometric evolution law can be interpreted as the $L^2$-gradient flow of the area functional and has applications e.g. in materials science and image processing. The talk is concerned with the analysis of a numerical method...
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Balázs Kovács (Paderborn University)11/09/2026, 11:30Plenary Talks
In this talk we will present and discuss a fully discrete algorithm for mean curvature flow of closed surfaces using Lagrange multipliers for preserving the energy-decreasing structure. The algorithm is based on the solution-driven formulation using Huisken's evolution equations for the normal vector and the mean curvature. The method uses a high-order multistep methods in time and evolving...
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Maxim Olshanskii (University of Houston)11/09/2026, 12:30Plenary Talks
The talk concerns linear parabolic problems posed on time-dependent domains that may undergo topological changes. The domains are represented by smooth level-set functions and may split, merge, or develop or lose components and holes. Using the classification of generic transitions provided by Morse theory, we introduce anisotropic space-time function spaces adapted to the resulting singular...
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