Weak Solutions of a Stochastic Model for Two-Dimensional Second Grade Fluids
1 Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa
2 School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA
Boundary Value Problems 2010, 2010:636140 doi:10.1155/2010/636140Published: 9 March 2010
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 . We establish the global existence of a probabilistic weak solution.