THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS

被引：0

作者：

杨灵娥 ^{[1
]}

纪艳珊 ^{[2
]}

郭柏灵 ^{[3
]}

机构：

[1] Department of Mathematics, Foshan University

[2] Department of Mathematics, South China Normal University

[3] Institute of Applied Physics and Computational Mathematics, POBox

来源：

Acta Mathematica Scientia | 2009年 / 29卷 / 01期

关键词：

inviscid limits; Navier-Stokes-α; model; Camassa-Holm equations;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this article, the authors show the existence of global solution of two-dimensional viscous Camassa-Holm (Navier-Stokes-alpha) (NS-α) equations. The authors also prove that the solution of the NS-α equations converges to the solution of the 2D NS equations in the inviscid limit and give the convergence rate of the difference of the solution.

引用

页码：65 / 73

页数：9

共 11 条

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