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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


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/636140


Received:3 July 2009
Accepted:28 February 2010
Published:9 March 2010

© 2010 The Author(s).

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

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