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Open Access Research Article

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

PA Razafimandimby1* and M Sango12

Author Affiliations

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

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Boundary Value Problems 2010, 2010:636140  doi:10.1155/2010/636140

Published: 9 March 2010

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 . We establish the global existence of a probabilistic weak solution.