A Blow-Up Criterion for 3D Compressible Isentropic Magnetohydrodynamic Equations with Vacuum

被引：0
|
作者：
Wang, Shujuan [1 ]
Ren, Jialin [1 ]
Su, Rijian [2 ]
机构：
[1] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Peoples R China
[2] Zhengzhou Univ Light Ind, Coll Comp & Commun Engn, Zhengzhou 450002, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 05期
基金：
中国国家自然科学基金;
关键词：
compressible magnetohydrodynamic equations; strong solution; blow up; vacuum; WEAK SOLUTIONS; REGULARITY CRITERIA; MHD EQUATIONS;
D O I：
10.3390/math12050687
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate a blow-up criterion for compressible magnetohydrodynamic equations. It is shown that if density and velocity satisfy (parallel to rho parallel to(infinity)(L)(0,T;L-infinity) + parallel to u parallel to(C)([0,T];L-3) < infinity), then the strong solutions to isentropic magnetohydrodynamic equations can exist globally over [0,T]. Notably, our analysis accommodates the presence of an initial vacuum.
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页数：10
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