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