Stochastic Euler Equations of Fluid Dynamics with Levy Noise

Abstract : The Euler equations are a set of quasi-linear partial differential equations which describes the motion of an inviscid fluid flow. In this talk, we consider the incompressible, stochastic Euler equations perturbed by additive Levy noise in two and three dimensions. The noise co-efficient corresponding to the cylindrical Wiener part is of trace class (e. g., pseudo-differential operators of Weyl symbol class of proper negative order). We prove the local in time existence and uniqueness of path-wise solutions up to a stopping time to the stochastic Euler equations.