Program of the Conference

Singularities in Nonlinear Problems






Sunday




8:00 - 9:00 Breakfast

9:25 - 9:30
Opening
9:30 - 10:00 Alberto Tesei Well-Posedness of Initial Value Problems for Singular Parabolic Equations
10:10 - 10:40 Ioannis Athanasopoulos The presence of curvature in free boundaries




10:40 - 11:10 Coffee break





11:10 - 11:40 Jean-Michal Roquejoffre Models for spherical flames: mathematical questions
11:50 - 12:20 Josephus Hulshof Parametric dependence of exponents and eigenvalues in focussing porous media flows




12:45 - 14:00 Lunch





14:30 - 15:00 Daniel Sevcovic Evolution of curves on a surface driven by the geodesic curvature and external force
15:10 - 15:40 Giles Richardson Similarity solutions to a fourth order nonlinear degenerate parabolic system of PDEs arising from an averaged model of superconducting vortex motion




15:40 - 16:10 Coffee break





16:10 - 16:40 Fuensanta Andreu The Cauchy problem for linear growth functionals
16:50 - 17:20 Georgios Kossioris Geometrical optics and the system of Hamilton-Jacobi and transport equations
17:30 - 18:00 Angel Manuel Ramos Controllability and Stabilization Problems for Cahn-Hilliard Type Equations










Monday




8:00 - 9:00 Breakfast





9:30 - 10:00 Phillipe Souplet Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena
10:10 - 10:40 David Riley Degenerate-diffusion models for the spreading of thin non-isothermal gravity currents




10:40 - 11:10 Coffee break





11:10 - 11:40 Peter Polacik Large-time behavior of global solutions of parabolic equations on $R^N$
11:50 - 12:20 Fabrice Bethuel Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature




12:45 - 14:00 Lunch





14:30 - 15:00 Ján Filo A free boundary problem in a multicomponent domain
15:10 - 15:40 Yehuda Pinchover Large time behavior of the heat kernel




15:40 - 16:10 Coffee break





16:10 - 16:40 Pavol Quittner A priori estimates of global and blowing up solutions of parabolic problems
16:50 - 17:20 Jose M. Mazon The Minimizing Total Variation Flow with Measure Initial Conditions










Tuesday




8:00 - 9:00 Breakfast





9:30 - 10:00 Pavol Brunovsky The Morse-Smale property for damped hyperbolic equations
10:10 - 10:40 Noriko Mizoguchi Blowup behavior of solutions for a semilinear heat equation with supercritical nonlinearity




10:40 - 11:10 Coffee break





11:10 - 11:40 Ross Pinsky Uniqueness/nonuniqueness for nonnegative solutions of certain second order semilinear parabolic equations
11:50 - 12:20 Lorenzo Giacomelli Rigorous lubrication approximation -- a model case




12:45 - 14:00 Lunch





14 50 - 15 05 Iddo Ben-Ari Asymptotics for the principal eigenvalue for the Laplacian in bounded domains with small holes, under various boundary conditions
15:10 - 15:25 Carlota Cuesta Small and waiting time behaviour of a Darcy flow model with dynamic capillary pressure




15:25 - 15:55 Coffee break





15:55 - 16:10 Linda Cummings Instabilities in thin films of nematic liquid crystals
16:15 - 16:30 Louis Dupaigne Nonlocal population dynamics
16:35 - 16:50 Michael Winkler Grow-up in a semilinear parabolic problem with a nonlinear boundary condition
16:55 - 17:10 Matthias Roeger Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation






Tuesday evening - conference dinner










Wednesday




8:00 - 9:00 Breakfast





9:30 - 9:45 Milos Revallo Stability of rimming flow under gravitational approximation
9:50 - 10:05 Luisa Moschini New Liouville theorems for linear second order degenerate elliptic equations in divergence form
10:10 - 10:25 Pierre Rouchon Universal bounds for global solutions of diffusion equations with local and nonlocal reaction term




10:25 - 10:55 Coffee break





10:55 - 11:10 Satoshi Sasayama Blowup rate for semilinear heat equation with subcritical nonlinearity
11:15 - 11:30 Jose Ignacio Tello Global existence and stability for a chemotaxis model of PDEs
11:35 - 11:50 Harmen van der Ploeg Periodic pulse patterns in the Gierer-Meinhardt equation
11:55 - 12:10 Ignacio Guerra Global Existence and Blow-up for a non-local problem arising in statistical mechanics




12:45 - 14:00 Lunch







Wednesday afternoon - sightseeing