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

Boundary Value Problems20102010:636140

Received: 3 July 2009

Accepted: 28 February 2010

Published: 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.


Differential EquationPartial Differential EquationOrdinary Differential EquationWeak SolutionFunctional Equation

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Authors’ Affiliations

Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa
School of Mathematics, Institute for Advanced Study, Princeton, USA


© P. A. Razafimandimby and M. Sango. 2010

This article is published under license to BioMed Central Ltd. 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.