On the strong solution for the 3D Stochastic Leray-Alpha Model
Loading...
Date
Authors
Deugoue, Gabriel
Sango, Mamadou
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
We prove the existence and uniqueness of strong solution to the stochastic Leray-α 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.
Description
Keywords
Strong solution, 3D stochastic Leray-Alpha model
Sustainable Development Goals
Citation
Deugoue, G & Sango, M 2010, 'On the Strong Solution for the 3D Stochastic Leray-Alpha Model', Boundary Value Problems, ID. 723018, pp. 1-31. [http://www.hindawi.com/journals/bvp/]