ESF Mathematics Conference in Partnership with EMS and ERCOM
Applied Partial Differential Equations in Physics, Biology and Social Sciences: Classical and Modern Perspectives
2-7 September 2012
Centre de Recerca Matemàtica, Bellaterra, Spain
Preliminary Programme |
In the last decades - in addition to their strong historical link with physics and engineering - partial differential equations provided a new mathematical interpretation of models arising from biology and social sciences. Keywords such as stability and instability, pattern formation, blow up, as well as singular limits and mean-field limits, turned out to be mathematical-analytical counterparts to several phenomena occurring in nature such as cells aggregation, collective behavior (flocking, herding etc.) of animals, consensus of opinions in a human community.
An example of this is the use of optimal transport and gradient flows, which provided a sound basis to study mean-field PDEs arising in electromagnetism and quantum semiconductor theory, as well as in cell biology (chemotaxis) and population dynamics. More examples are the use of kinetic Boltzmann-type equations in socio-economical sciences, the hydrodynamical Euler-type formulation of several problems in medicine (cancer formation, emodynamics), the modeling of pedestrian flows via nonlinear conservation laws.
The aim of this conference is to review latest advances in several sub-areas of applied PDEs such as kinetic theory, transport equations in biology, (nonlinear) reaction-diffusion systems, geometric flows, interplay between PDEs and game theory, PDEs arising from optimal transport, nonlinear conservation laws, fully nonlinear PDEs, variational PDEs, free boundary problems, multiscale problems.
| Sunday 2 September | |
| 17:00-19:00 | Registration at ESF Desk at Campus Hotel |
| Monday 3 September | |
| 09:15-09:30 | Welcome message by the Chairs Marco Di Francesco and José Antonio Carrillo de la Plata, About ESF presentation by Mats Gyllenberg, University of Helsinki, FI and ESF representative |
| 09:30-10:20 | Benoit Perthame, École Normale Supérieure, FR PDEs from the neurosciences: synchronisation mechanisms |
| 10:20-10:50 | Maria del Mar Gonzalez, Universitat Politecnica de Catalunya, ES |
| 10:50-11:20 | Coffee Break |
| 11:20-12:10 | Juan José López Velázquez, University of Bonn, DE Blow-up for the Boltzmann-Nordheim equation |
| 12:10-12:40 | Piotr Biler, University of Wroclaw, PL Blowup and self-similar solutions for two component drift-diffusion systems |
| 13:00-14:30 | Lunch and free discussion |
| 14:30-15:20 | Andrea Bertozzi, University of California at Los Angeles, US Aggregation Equations and Fluid Dynamics |
| 15:20-15:50 | Razvan Fetecau, Simon Fraser University, CA Swarm dynamics and equilibria for a nonlocal aggregation model |
| 15:50-16:20 | Coffee break |
| 16:20-17:10 | Angela Stevens, University of Muenster, DE Mathematical Modeling of Cellular Motion due to Localized Signaling |
| 17:10-17:40 | Jesus Rosado Linares, University of California Los Angeles, US |
| 17:40-18:10 | Sabine Hittmeir, Vienna University of Technology, AT Cross Diffusion and nonlinear diffusion preventing blow up in the Keller Segel model |
| Tuesday 4 September | |
| 09.00-09:50 | Robert J. McCann, University of Toronto, CA Geometrical variational problems in economics |
| 09:50-10:40 | Giuseppe Toscani, University of Pavia, IT Kinetic and Fokker-Planck models for goods exchange in microeconomics |
| 10:40-11:10 | Karsten Matthies, University of Bath, UK |
| 11:10-11:40 | Group Picture and Coffee Break |
| 11:40-12:30 | Alfio Quarteroni, Ecole Polytechnique de Fédérale (EPFL), CH and Politecnico di Milano, IT Modeling and Complexity Reduction in PDEs for Multiphysics |
| 12:30-13:00 | Alethea Barbaro, Case Western Reserve University, US Mathematical models for social dynamics |
| 13:00-14:30 | Lunch and free discussion |
| 14:30-15:20 | Camillo De Lellis, University of Zurich, CH On a conjecture of Onsager in the theory of fully developed turbulence |
| 15:20-15:50 | Gianluca Crippa, Universitaet Basel, CH |
| 15:50-16:20 | Coffee break |
| 16:20-17:10 | François Golse, Ecole polytechnique, Palaiseau, FR Propagation of Monokinetic Measures with Rough Momentum Profiles |
| 17:10-18:00 | Weizhu Bao, National University of Singapore, SG Multiscale methods and analys is for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime |
| 18:00 | Wine & Poster session |
| Wednesday 5 September | |
| 09:00-09:50 | Tai-Ping Liu, Stanford University, US Boundary Relation for Dissipative-Hyperbolic Systems |
| 09:50-10:40 | Pierangelo Marcati, Università degli studi dell'Aquila, IT Oscillations and Defect Measures for the Quasineutral Limit in Plasma Physics |
| 10:40-11:10 | Evgeniy Panov, Novgorod State University, RU |
| 11:10-11:40 | Coffee Break |
| 11:40-12:30 | Panagiotis Souganidis, University of Chicago, US Random homogenization for first and second order pde |
| 12:30-13:00 | Johannes Zimmer, University of Bath, UK From Brownian motion to entropy: a new limit passage to Wasserstein gradient flows |
| 13:00-13:30 | Marie-Therese Wolfram, University of Vienna, AT On a mean field game approach modeling pedestrian motion |
| 13:30 | Lunch |
| 16:00 | Excursion |
| 19:00 | Conference Dinner |
| Thursday 6 September | |
| 09.00-09:50 | Juan Luis Vázquez, Universidad Autonoma de Madrid, ES Nonlinear Diffusion involving Fractional Laplacians |
| 09:50-10:40 | Vicent Caselles, Universitat Pompeu Fabra, Barcelona, ES Some regularity results for the relativistic heat equation |
| 10:40-11:10 | Daniel Matthes, Technische Universitaet Muenchen, DE |
| 11:10-11:40 | Coffee Break |
| 11:40-12:30 | Christian Schmeiser, University of Vienna, AT Competition for the depolymerizer: stable length distributions for biopolymers |
| 12:30-13:00 | Anton Arnold, Vienna University of Technology, AT Some polymeric fluid flows models: steady states & large-time-convergence |
| 13:00-14:30 | Lunch |
| 14:30-15:20 | Laurent Desvillettes, École normale supérieure, Cachan, FR New results for reaction-cross diffusion and infinite dimensional reaction-diffusion models coming out of population dynamics |
| 15:20-15:50 | Mats Gyllenberg, University of Helsinky, FI Invasion of a rare mutant into a diffusing population with a sedentary and reproducing compartment |
| 15:50-16:20 | Gael Raoul, CEFE, CNRS, FR Populations Structured by a Phenotypic Trait and a Space Variable |
| 16:20-16:50 | Coffee Break |
| 16:50-17:40 | Ansgar Jüngel, Vienna University of Technology, AT Challenges for cross-diffusion models from biology and physics |
| 17:40-18:10 | Carlota Cuesta, Instituto de Ciencias Matematicas, Madrid, ES Fluid accumulation in thin-film flows driven by surface tension and gravity |
| Friday 7 September | |
| 08.45-09:35 | Eitan Tadmor, University of Maryland at College Park, US Hydrodynamic description of consensus and flocking in heterophily self-alignment |
| 09:35-10:25 | Jean Dolbeaut, University Paris Dauphine, FR Sharp rates for the subcritical parabolic-elliptic Keller-Segel model in the plane |
| 10:25-10:55 | Forward look session |
| 10:55-11:20 | Coffee Break |
| 11:20-11:50 | Trigve Karper, University of Maryland, US Hydrodynamic limit of the kinetic Cucker-Smale model |
| 11:50-12:40 | Jian-Guo Liu, Duke University, US Phase translation of self-aligment in flocking dynamics |
| 12:40-13:30 | Martin Burger, University of Muenster, DE Transport-Diffusion-Reaction Systems and Biomedical Applications |
| 13:30-15:00 | Lunch & Closure |
