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On the Strong Solution for the 3D Stochastic Leray-Alpha Model

Abstract

We prove the existence and uniqueness of strong solution to the stochastic Leray- equations under appropriate conditions on the data. This is achieved by means of the Galerkin approximation scheme. We also study the asymptotic behaviour of the strong solution as alpha goes to zero. We show that a sequence of strong solutions converges in appropriate topologies to weak solutions of the 3D stochastic Navier-Stokes equations.

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Correspondence to Mamadou Sango.

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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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Deugoue, G., Sango, M. On the Strong Solution for the 3D Stochastic Leray-Alpha Model. Bound Value Probl 2010, 723018 (2010). https://doi.org/10.1155/2010/723018

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Asymptotic Behaviour
  • Weak Solution
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