Research Article
On the Strong Solution for the 3D Stochastic Leray-Alpha Model
1 Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa
2 Department of Mathematics and Computer Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon
Boundary Value Problems 2010, 2010:723018 doi:10.1155/2010/723018
Published: 2 February 2010Abstract
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 Navier-Stokes equations.
