Regularity criteria for the solutions to the 3D MHD equations in the multiplier space

被引：126
|
作者：
Zhou, Yong [1 ]
Gala, Sadek [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Univ Mostaganem, Dept Math, Mostaganem 27007, Algeria
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2010年 / 61卷 / 02期
关键词：
MHD equations; Regularity criterion; A priori estimates; WEAK SOLUTIONS;
D O I：
10.1007/s00033-009-0023-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some improved regularity criteria for the 3D viscous MHD equations are established in multiplier spaces. It is proved that if the velocity field satisfies u is an element of L 2/1 - r (o, T, (X) over dot(r) (R-3)) with r is an element of [o, 1[, or the gradient field of velocity satisfies del u is an element of 2/2-gamma (0, T, (X)(gamma) (R-3)) with gamma is an element of [0, 1], then the solution remains smooth on [0, T].
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页码：193 / 199
页数：7
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