AIMS LAB SEMINARS

Monday July 18, 2011
11:30-12:30
Hamilton Hall, Room 403

 

Speaker: Christophe Lacave, Universite Paris VII

Title: "The 2D Euler equation on singular domains"

Abstract: We establish the existence of global weak solutions of the 2D incompressible Euler equation, for a large class of non-smooth open sets. These domains are complements of a finite number of closed sets with positive capacity. Existence of Yudovitch type solutions is deduced from an approximation argument, that relates to the so-called $\Gamma$-convergence of domains. It is a work in collaboration with David Gerard-Varet.