A remark on blow-up criterion for 3D compressible magnetohydrodynamic flows with vacuum

被引：0
|
作者：
Liu, Yujun [1 ,2 ]
Tang, Tong [3 ]
Li, Shan [4 ]
机构：
[1] Panzhihua Univ, Dept Math & Comp, Panzhihua 617000, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Hohai Univ, Dept Math, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[4] Sichuan Univ, Sch Business, Chengdu 610064, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 290卷
关键词：
Compressible magnetohydrodynamic flows; Blow-up criterion; Strong solution; NAVIER-STOKES EQUATIONS; BOUNDARY VALUE-PROBLEM; GLOBAL-SOLUTIONS; MHD EQUATIONS; MODEL;
D O I：
10.1016/j.amc.2016.05.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we concerned a blowup criterion of strong solutions for 3D viscous, compressible magnetohydrodynamic(MHD) flows with vacuum. We proved that any strong solutions of viscous, compressible MHD fluids will blow up in finite time if lim(T -> T*) (parallel to rho parallel to(L infinity(0, T; L s)) + parallel to H parallel to(L infinity(0,T; Ll))) = infinity, for some 1 < s < infinity large enough, and 24/5 <= l <= infinity, provided that the viscosity coefficients satisfy 3 mu > lambda. This work is motivated by the recent works of Wang and Li (2014) and Yu (2013) on blow up criterion for 3D MHD flows. (C) 2016 Elsevier Inc. All rights reserved.
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页码：189 / 200
页数：12
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