Blowup of smooth solution for non-isentropic magnetohydrodynamic equations without heat conductivity

被引：4
|
作者：
Duan, Qin [1 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 06期
关键词：
MHD; cauchy problem; blowup criterion; NAVIER-STOKES EQUATIONS; UP CRITERION; WEAK SOLUTIONS; FLOWS; REGULARITY; DENSITY; VACUUM; FLUIDS;
D O I：
10.1002/mma.4104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a blow-up criterion for the three-dimentional viscous, compressible magnetohydrodynamic flows. It is shown that for the Cauchy problem and the initial-boundary-value problem with initial density allowed to vanish, the strong or smooth solution for the three-dimentional magnetohydrodynamic flows exists globally if the density, temperature, and magnetic field is bounded from above. Copyright (c) 2016 John Wiley & Sons, Ltd.
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页码：1865 / 1879
页数：15
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