Global large solutions of magnetohydrodynamics with temperature-dependent heat conductivity

被引：30
|
作者：
Hu, Yuxi [1 ]
Ju, Qiangchang [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 03期
关键词：
Magnetohydrodynamics; Temperature-dependent heat conductivity; Large data; Global strong solutions; NON-LINEAR THERMOVISCOELASTICITY; RAYLEIGH-TAYLOR INSTABILITY; BOUNDARY VALUE-PROBLEM; EQUATIONS;
D O I：
10.1007/s00033-014-0446-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an initial boundary value problem for the magnetohydrodynamic compressible flows. By assuming that the heat conductivity depends on temperature with kappa (theta) = theta (q) , q > 0, we prove the existence and uniqueness of global strong solutions with large initial data and show that neither shock waves nor vacuum and concentration of mass in the solutions are developed in a finite time.
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页码：865 / 889
页数：25
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