On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution

Abstract

We investigate the stochastic evolution equations describing the motion of a Non-Newtonian fluids excited by multiplicative noise of Lévy type. By making use of Galerkin approximation we can prove that the system has a global (probabilistic) strong solution. This solution is unique and we also prove that the sequence of Galerkin solution converges to this unique solution in mean square.

Minor corrections in Section 5, Submitted for publication since 2012