Boundary Value Problems
Volume 2010 (2010), Article ID 723018, 31 pages
doi:10.1155/2010/723018

On the strong solution for the 3D stochastic Leray-α model

Abstract

We prove the existence and uniqueness of strong solution to the stochastic Leray-α equations under appropriate conditions on the data. This is achieved by means of the Galerkin approximation scheme. We also study the asymptotic behaviour of the strong solution as alpha goes to zero. We show that a sequence of strong solutions converges in appropriate topologies to weak solutions of the 3D stochastic Navier-Stokes equations.