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  • Research Article
  • Open Access

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

Boundary Value Problems20102010:723018

https://doi.org/10.1155/2010/723018

  • Received: 13 August 2009
  • Accepted: 27 January 2010
  • Published:

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.

Keywords

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

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Authors’ Affiliations

(1)
Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa
(2)
Department of Mathematics and Computer Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon

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