A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity

被引：14
作者：
Ye, Zhuan [1 ]
Zhang, Zujin [2 ]
机构：
[1] Jiangsu Normal Univ, Dept Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[2] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 301卷
基金：
中国国家自然科学基金;
关键词：
Incompressible Hall-MHD equations; Regularity criterion; Vorticity; NAVIER-STOKES EQUATIONS; DATA GLOBAL EXISTENCE; BLOW-UP CRITERION; WELL-POSEDNESS; WEAK SOLUTIONS; WAVES; DECAY;
D O I：
10.1016/j.amc.2016.12.011
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 three-dimensional (3D) incompressible Hall-magnetohydrodynamic equations (Hall-MHD). It is proved that the control of the vorticity alone can ensure the smoothness of the solution. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：70 / 77
页数：8
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