Remarks on global regularity for the 3D MHD system with damping

被引：14

作者：

Zhang, Zujin ^{[1
]}

Wu, Chupeng ^{[1
]}

Yao, Zheng-An ^{[2
]}

机构：

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

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 333卷

基金：

中国国家自然科学基金;

关键词：

MHD equations; Navier-Stokes system; Damping; Strong solutions; NAVIER-STOKES EQUATIONS; UNIQUENESS CRITERION; WEAK SOLUTIONS;

D O I：

10.1016/j.amc.2018.03.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the Cauchy problem for the 3D MHD system with damping terms vertical bar u vertical bar(alpha-1) u and vertical bar b vertical bar(ss-1) b (alpha, ss >= 1), and show that the strong solution exists globally and uniquely if one of the following four conditions holds, (1) 3 <= alpha <= 27/8, ss >= 4; (2) 27/8 < alpha <= 7/2, ss >= 7/2 alpha-5; (3) 7/2 < alpha< 4, ss= 5 alpha+ 7/2 alpha; (4) alpha >= 4, ss >= 1. This improves the previous results significantly. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1 / 7

页数：7

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