Blow-up criterion for two-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows

被引：8
|
作者：
Lu, Li [1 ]
Chen, Yajin [1 ]
Huang, Bin [2 ,3 ]
机构：
[1] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Peoples R China
[2] Beijing Univ Chem Technol, Sch Sci, Beijing 100029, Peoples R China
[3] Cent Univ Finance & Econ, Econ & Management Acad, Beijing 100081, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 139卷
关键词：
Full compressible MHD equations; Strong solution; Blow-up criterion; NAVIER-STOKES EQUATIONS; CLASSICAL-SOLUTIONS; LARGE OSCILLATIONS; WEAK SOLUTIONS; VACUUM; SYSTEM; REGULARITY;
D O I：
10.1016/j.na.2016.02.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper establishes a blow-up criterion for the two-dimensional (2D) viscous, compressible, and heat conducting magnetohydrodynamic(MHD) flows. It is essentially shown that for the initial boundary value problem of the 2D full compressible MHD flows with initial density allowed to vanish, the strong solution exists globally if the divergence of velocity satisfies parallel to divu parallel to(L1(0,T; L infinity)) < infinity. In particular, the criterion is independent of both the temperature and the magnetic field and is just the same as that of the full compressible Navier-Stokes equations. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：55 / 74
页数：20
相关论文
共 50 条
12345