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

  • PA Razafimandimby1Email author and

    Affiliated with

    • M Sango1, 2

      Affiliated with

      Boundary Value Problems20102010:636140

      DOI: 10.1155/2010/636140

      Received: 3 July 2009

      Accepted: 28 February 2010

      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 http://static-content.springer.com/image/art%3A10.1155%2F2010%2F636140/MediaObjects/13661_2009_Article_945_IEq1_HTML.gif . We establish the global existence of a probabilistic weak solution.

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      Authors’ Affiliations

      (1)
      Department of Mathematics and Applied Mathematics, University of Pretoria
      (2)
      School of Mathematics, Institute for Advanced Study

      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.