Boundary Value Problems
Volume 2010 (2010), Article ID 636140, 47 pages
doi:10.1155/2010/636140
Research Article

Weak Solutions of a Stochastic Model for Two-Dimensional Second Grade Fluids

P. A. Razafimandimby1 and M. Sango1,2

1Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa
2School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA

Received 3 July 2009; Accepted 28 February 2010

Academic Editor: Robert Finn

Copyright © 2010 P. A. Razafimandimby and M. 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 initiate the investigation of a stochastic system of evolution partial differential equations modelling the turbulent flows of a second grade fluid filling a bounded domain of ℝ2. We establish the global existence of a probabilistic weak solution.