Hiroshi Matano : Spreading speed for some two-component reaction-diffusion system

Premier atelier de l'ERC « Reaction-Diffusion Equations,Propagations and Modelling »   Journées d'étude organisées par Henri Berestycki et Jean-Michel Roquejoffre   EHESS,24-25 septembre 2013 Séquence 1: Hiroshi Matano (University of Tokyo) Spreading speed for some two-component reaction-diffusion system  In this talk I will discuss the spreading properties of solutions of a prey-predator type reaction-diffusion system. This system belongs to the class of reaction-diffusion systems for which the comparison principle does not hold. For such class of systems,little has been know about the spreading properties of the solutions.  Here,by a spreading property,we mean the way the solution propagates when starting from compactly supported initial data. We show that propagation of both the prey and the predator occur with a definite spreading speed. Furthermore,quite intriguingly,the spreading speed of the prey and that of the predator are different in some

Disciplines : Mathématiques,Analyse
Mots-clés : combinatoire,informatique,probabilité,EHESS
Type de document : image en mouvement
Type de ressource : lecture
Niveau : higher education
Auteurs ou éditeurs : Henri BERESTYCKI,Hiroshi MATANO,Philippe KERGRAISSE,Direction de l'Audiovisuel de l'EHESS (Dir. Jean-Claude Penrad)