Séminaire d'AnalyseReaction-Diffusion Equations and Front Propagations Problems
jeudi 27 février 2014 11:00 - Tours - Salle 1180 (Bât E2)
The large time behavior of reaction - diffusion equations and particle systems is generally mainly described in terms of the front propagations they generate. The aim of this talk is to present several types of arguments which were used to rigourously establish the connections between these equations/systems and the “geometrical” law of propagation of the associated moving fronts (fronts with constant normal velocities, motion by mean curvature...). This will be done through three basic examples : KPP with Large Deviations arguments, ZFK (a not so well understood case) and Allen-Cahn with the ``geometrical approach'' based on the famous ``level sets approach''.