The anisotropic integrability regularity criterion to 3D magnetohydrodynamics equations

被引：3

作者：

Qian, Chenyin ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 15期

关键词：

3D MHD equations; weak solution; anisotropic regularity criterion; NAVIER-STOKES EQUATIONS; MHD EQUATIONS; WEAK SOLUTIONS; GLOBAL REGULARITY; ONE VELOCITY; COMPONENTS; TERMS; 2D;

D O I：

10.1002/mma.4399

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish sufficient conditions for the regularity of solutions of 3D MHD equations in the framework of the anisotropic Lebesgue spaces. In particular, we obtain the anisotropic regularity criterion via partial derivatives, and it is a generalization of the some previous results. Besides, the anisotropic integrability regularity criteria in terms of the magnetic field and the third component of the velocity field are also investigated. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：5461 / 5469

页数：9

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