Evolutionary partial differential equations (PDEs) are at the core of several models coming from physics and a central part of the general theory of PDEs.
The purpose of the conference is to assess the situation on the several recent progress in the field in regards to their mathematical treatment. Thanks to techniques coming from harmonic analysis, the theory of elliptic PDEs and geometry, several major problems in the field have been resolved, generating several crucial advances in the area. The present conference aims to bring together worldwide experts. We plan to concentrate on three aspects: dispersive and hyperbolic equations, reaction-diffusion equations and porous media equations. Another aim of the event is to encourage collaborations between these experts and the colleagues in Marseille.

 Scientific Committee

Carlos Kenig (University of Chicago)
Frank Merle (Université de Cergy-Pontoise & IHES)

Organizing Committee

Enno Lenzmann (University of Basel)
Yannick Sire (Johns Hopkins University)

Speakers

• Hajer Bahouri (UPEC)

Dispersive estimates for the Schrödinger equation on 2-step stratified Lie groups

• Isabeau Birindelli (Sapienza Rome)

Symmetry of solutions for fully non linear PDE

• Fabrice Bethuel (UPMC)

On the formation of one-dimensional interfaces in two dimensional multiple-well gradient problems

• Walter Craig (McMaster University)

Birkhoff normal form for null form wave equations

• Panagiota Daskalopoulos (Columbia University)

Ancient solutions to geometric flows

• Manuel Del Pino (University of Chile)

Blow-up by bubbling in some critical parabolic equations

• Erwan Faou (ENS Rennes)

Numerical solitons

• Patrick Gérard (Université Paris-Sud)

Resonant two-soliton interaction for the one dimensional half wave equation

• François Hamel (Aix-Marseille Université)

Transition fronts for monostable reaction-diffusion equations

• Michael Jenkinson (New-York University)

On-Site and Off-Site Bound States of the Discrete Nonlinear Schroedinger Equation and the Peierls-Nabarro Barrier

• Felipe Linares (IMPA Brazil)

On special regularity properties of solutions to the k-generalized Korteweg-de Vries equation

• Nikolai Nadirashvili (Aix-Marseille Université)

On level sets of solutions of elliptic and parabolic equations

• Tohru Ozawa (University of Tokyo)

Quadratic Interactions in Dispersive Systems

• Pierre Raphael (Université Nice Sophia Antipolis)

Type I and type II blow for energy critical and super critical models

• Jean-Claude Saut (Université Paris-Sud)

Full dispersion water waves models

• Juan Luis Vazquez (UAM Madrid)

The theory of nonlinear diffusions with fractional operators

• Luis Vega (University of the Basque Country Bilbao)

Hardy Uncertainty Principle and Carleman Inequalities

• Hatem Zaag (Université Paris 13)

Existence and stability of a blow-up solution for a heat equation with a critical nonlinear gradient term