GLOBAL REGULARITY FOR THE 3D COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH GENERAL PRESSURE

被引：0

作者：

Suen, Anthony ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Hong Kong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年 / 42卷 / 06期

关键词：

Regularity; blow-up criteria; compressible magnetohydrodynamics; BLOW-UP CRITERION; NAVIER-STOKES EQUATIONS; ENERGY WEAK SOLUTIONS; EXISTENCE; MHD;

D O I：

10.3934/dcds.2022004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the compressible magnetohydrodynamics (MHD) equations in R3 and establish a blow-up criterion for the lo cal-in-time smooth solutions in terms of the density only. Namely, if the density is away from vacuum (rho = 0) and the concentration of mass (rho = infinity), then a lo cal-in-time smooth solution can be continued globally in time. The results generalise and strengthen the previous ones in the sense that there is no magnetic field present in the criterion and the assumption on the pressure is significantly relaxed. The proof is based on some new a priori estimates for three-dimensional compressible MHD equations.

引用

页码：2927 / 2943

页数：17

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