Remark on an improved regularity criterion for the 3D MHD equations

被引：11

作者：

Xu, Xiaojing ^{[1
]}

Ye, Zhuan ^{[1
]}

Zhang, Zujin ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 42卷

基金：

中国国家自然科学基金;

关键词：

Incompressible MHD equations; Regularity criterion; WEAK SOLUTIONS; INEQUALITIES;

D O I：

10.1016/j.aml.2014.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the regularity criterion for the local in time classical solution to the 3D incompressible magnetohydrodynamic equations. We prove that if del x u belongs to L-2(0, T; (B) over dot(infinity infinity)(-1)), then the local solution (u, B) can be extended beyond time T. As a consequence, this result extends several previous works. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：41 / 46

页数：6

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