- Research Article
- Open Access
On the Strong Solution for the 3D Stochastic Leray-Alpha Model
© G. Deugoue and M. Sango. 2010
- Received: 13 August 2009
- Accepted: 27 January 2010
- Published: 2 February 2010
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.
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Asymptotic Behaviour
- Weak Solution
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