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

Weak solutions of a stochastic model for two-dimensional second grade fluids

P.A. Razafimandimby and M. Sango

Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa

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.