Abstract and Applied Analysis
Volume 2009 (2009), Article ID 723236, 27 pages
doi:10.1155/2009/723236
Research Article

On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence

Gabriel Deugoue and Mamadou Sango

Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, South Africa

Received 24 June 2009; Accepted 21 October 2009

Academic Editor: Ruediger Landes

Copyright © 2009 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.

Abstract

We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. The adequate notion of solutions is that of probabilistic weak solution. We establish the existence of a such of solution. We also discuss the uniqueness.