Alessandro Zilio: Strongly competing systems with fractional diffusion: uniform regularity results?

Journées ERC ReaDi 12-13 novembre 2013 Alessandro Zilio (Politecnico di Milano)Strongly competing systems with fractional diffusion: uniform regularity results  In this talk I will focus on some recent results obtained in collaboration with S. Terracini and G. Verzini about the optimal regularity of solution to systems characterized by nonstandard diffusion and strong competition. In particular,it will be shown that the type of competition strongly affects both the regularity of the solutions and the geometry of the segregated states obtained in the limiting case of infinite competition.

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 : Alessandro ZILLIO,Direction de l'Audiovisuel de l'EHESS (Dir. Jean-Claude Penrad),Philippe KERGRAISSE