On stochastic 2D Euler equation

old_uid11075
titleOn stochastic 2D Euler equation
start_date2012/03/16
schedule11h
onlineno
summaryWe consider the 2D Euler equation in a bounded domain driven by a multiplicative noise. We prove the existence of martingale solutions in the space of finite energy and finite enstrophy. The method used is an approximation of the Euler equation by a modified Navier-Stokes one combined with a martingale representation theorem. A uniqueness result is proved when the noise is additive.
responsiblesBardet, Cottrell