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  • Research Article
  • Open Access

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

Boundary Value Problems20102010:636140

https://doi.org/10.1155/2010/636140

  • Received: 3 July 2009
  • Accepted: 28 February 2010
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Weak Solution
  • Functional Equation

Publisher note

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Authors’ 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

Copyright

© 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.

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