On a 2D stochastic Euler equation of transport type: existence and geometric formulation

Published 30 May 2013 in math.PR | (1305.7086v3)

Abstract: We prove weak existence of Euler equation (or Navier-Stokes equation) perturbed by a multiplicative noise on bounded domains of $\mathbb R^2$ with Dirichlet boundary conditions and with periodic boundary conditions. Solutions are $H^1$ regular. The equations are of transport type.

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