Regularity criteria for the generalized MHD equations

被引：213

作者：

Wu, Jiahong ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 33卷 / 02期

关键词：

besov space; generalized MHD equations; regularity criteria;

D O I：

10.1080/03605300701382530

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper derives regularity criteria for the generalized magnetohydrodynamics (MHD) equations, a system of equations resulting from replacing the Laplacian -Delta in the usual MHD equations by a fractional Laplacian (-Delta)(alpha). These criteria impose assumptions on the velocity field u alone and sharpen a result of He and Xin (2005). In addition, these criteria apply to the incompressible Navier-Stokes equations and improve some existing results.

引用

页码：285 / 306

页数：22

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