Global regularity for the Cauchy problem of three-dimensional compressible magnetohydrodynamics equations

被引：12
|
作者：
Wang, Yongfu [1 ]
Li, Shan [2 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] Sichuan Univ, Coll Business, Chengdu 610065, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 18卷
基金：
中国博士后科学基金;
关键词：
BLOW-UP CRITERION; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; MHD EQUATIONS; CONTINUOUS DEPENDENCE; INITIAL DATA; VACUUM; FLOWS; SYSTEM;
D O I：
10.1016/j.nonrwa.2014.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Cauchy problem for the three-dimensional compressible magnetohydrodynamics equations. We establish a blowup criterion for global regularity of strong solutions, which depends only on density and magnetic field. In addition, the initial data can be arbitrarily large and contain vacuum states. The proof is based on the new a priori estimates for three-dimensional compressible magnetohydrodynamics equations. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：23 / 33
页数：11
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