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

被引：24

作者：

Deugoue, Gabriel ^{[1
,2
]}

Sango, Mamadou ^{[1
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

[2] Univ Dschang, Dept Math & Comp Sci, Dschang, Cameroon

来源：

BOUNDARY VALUE PROBLEMS | 2010年

基金：

新加坡国家研究基金会;

关键词：

EXISTENCE;

D O I：

10.1155/2010/723018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of strong solution to the stochastic Leray-alpha 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.

引用

页数：31

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