REGULARITY CRITERIA FOR THE 3D MHD EQUATIONS VIA PARTIAL DERIVATIVES

被引：47

作者：

Jia, Xuanji ^{[1
]}

Zhou, Yong ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

关键词：

MHD equations; regularity criteria; partial derivatives; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; MAGNETOHYDRODYNAMIC EQUATIONS; PRESSURE; TERMS; GRADIENT;

D O I：

10.3934/krm.2012.5.505

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish two regularity criteria for the 3D MHD equations in terms of partial derivatives of the velocity field or the pressure. It is proved that if partial derivative(3)u is an element of L-beta(0, T; L-alpha(R-3)), with 2/beta + 3/alpha <= 3(alpha+2)/4 alpha, alpha > 2, or del P-h is an element of L-beta(0, T; L-alpha(R-3)), with 2/beta + 3/alpha < 3, alpha > 9/7, beta >= 1, then the weak solution (u, b) is regular on [0, T].

引用

页码：505 / 516

页数：12

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