THE MARKOV PROPERTY FOR THE SOLUTION OF THE STOCHASTIC NAVIER-STOKES EQUATION

Abstract

 We consider the stochastic Navier-Stokes equation of Navier-Stokes type containing a noise part given by a stochastic integral with respect to a Wiener process. The purpose of this paper is to prove that the solution of this nonlinear equation is a Markov process. We take into consideration the properties of the Galerkin approximations.