Academic Editor: Vicentiu D. Radulescu
Copyright © 2010 Gabriel Deugoue and Mamadou Sango. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove the existence and uniqueness of strong solution to the stochastic Leray- 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