On Regularity Criteria for the 3D Incompressible MHD Equations Involving One Velocity Component

被引：36

作者：

Jia, Xuanji ^{[1
]}

Zhou, Yong ^{[2
,3
]}

机构：

[1] City Univ Hong Kong, Dept Math, Tat Chee Ave, Kowloon, Hong Kong, Peoples R China

[2] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2016年 / 18卷 / 01期

关键词：

MHD equations; weak solutions; regularity criteria; ONE CURRENT-DENSITY; WEAK SOLUTIONS;

D O I：

10.1007/s00021-015-0246-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing a new a priori estimate for the -equation, we establish some regularity criteria for the weak solutions of the 3D incompressible MHD equations in terms of one velocity component and two magnetic field components. Our results improve some recent works.

引用

页码：187 / 206

页数：20

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