Open Access

On the Strong Solution for the 3D Stochastic Leray-Alpha Model

Boundary Value Problems20102010:723018

DOI: 10.1155/2010/723018

Received: 13 August 2009

Accepted: 27 January 2010

Published: 2 February 2010

Abstract

We prove the existence and uniqueness of strong solution to the stochastic Leray- https://static-content.springer.com/image/art%3A10.1155%2F2010%2F723018/MediaObjects/13661_2009_Article_951_IEq1_HTML.gif 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.

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Authors’ Affiliations

(1)
Department of Mathematics and Applied Mathematics, University of Pretoria
(2)
Department of Mathematics and Computer Sciences, University of Dschang

Copyright

© G. Deugoue and M. Sango. 2010

This article is published under license to BioMed Central Ltd. 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.