A new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equations

被引：7

作者：

Zhu, Limei ^{[1
]}

Chen, Yingshan ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 41卷

基金：

中国国家自然科学基金;

关键词：

Magnetohydrodynamic flow model(MHD); Strong solution; Blowup criterion; Vacuum; GLOBAL-SOLUTIONS; SMOOTH SOLUTIONS; WEAK SOLUTIONS; NAVIER-STOKES; VACUUM; FLOWS; REGULARITY;

D O I：

10.1016/j.nonrwa.2017.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a new blowup criterion for the strong solution to the Cauchy problem of the three-dimensional compressible MHD system with vacuum. Specifically, we obtain the blowup criterion in terms of (LtLxq1)-L-infinity-norm of the density and (LtLx6)-L-infinity of the magnetic field. This criterion is closer to the basic energy and hence is superior to all the previous criterions in terms of the density and the magnetic field. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：461 / 474

页数：14

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