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

Boundary Value Problems volume 2010, Article number: 636140 (2010) Cite this article

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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Authors and Affiliations

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

    PA Razafimandimby & M Sango

  2. School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ, 08540, USA

    M Sango

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  1. PA Razafimandimby
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  2. M Sango
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Correspondence to PA Razafimandimby.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Razafimandimby, P., Sango, M. Weak Solutions of a Stochastic Model for Two-Dimensional Second Grade Fluids. Bound Value Probl 2010, 636140 (2010). https://doi.org/10.1155/2010/636140

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

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