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

被引：10
|
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
收藏
页码：41 / 46
页数：6
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