Recent Trends in Nonlinear Evolution Equations
April 4 – 8, 2016
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)


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

Symmetry of solutions for fully non linear PDE

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

Birkhoff normal form for null form wave equations

Ancient solutions to geometric flows

Blow-up by bubbling in some critical parabolic equations

Numerical solitons

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

Transition fronts for monostable reaction-diffusion equations

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

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

On level sets of solutions of elliptic and parabolic equations

Quadratic Interactions in Dispersive Systems

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

Full dispersion water waves models

The theory of nonlinear diffusions with fractional operators

  • Luis Vega (University of the Basque Country Bilbao)

Hardy Uncertainty Principle and Carleman Inequalities

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