Regularity criteria for the 3D MHD equations in terms of the pressure

被引：109
|
作者：
Zhou, Yong [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2006年 / 41卷 / 10期
基金：
中国国家自然科学基金;
关键词：
MHD equations; regularity criterion; a priori estimates;
D O I：
10.1016/j.ijnonlinmec.2006.12.001
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper we consider the regularity criteria for weak solutions to the 3D MHD equations. It is proved that under the condition b being in the Serrin's regularity class, if the pressure p belongs to L-alpha,L-gamma with + 2/alpha + 3/gamma <= 2 or the gradient field of pressure del p belongs to L-alpha,L-gamma with 2/alpha + 3/gamma <= on [0, T], then the solution remains smooth on [0, T]. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：1174 / 1180
页数：7
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