Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations

被引：2
|
作者：
Xi, Shuai [1 ,2 ]
Zhu, Shengguo [2 ,3 ,4 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[3] Univ Oxford, Math Inst, Oxford OX2 6GG, England
[4] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 02期
基金：
澳大利亚研究理事会; 上海市自然科学基金; 中国国家自然科学基金;
关键词：
MHD; Strong solutions; Vacuum; Compatibility condition; Blow-up criterion; NAVIER-STOKES EQUATIONS; CLASSICAL-SOLUTIONS; GLOBAL-SOLUTIONS; LARGE OSCILLATIONS; SMOOTH SOLUTIONS; REGULARITY; BOUNDARY;
D O I：
10.1007/s10884-019-09756-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a blow-up criterion in terms of the magnetic field H and the mass density rho for the strong solutions to the initial boundary value problem of the 3D isentropic compressible MHD equations with zero magnetic diffusion and initial vacuum. More precisely, we show that the upper bounds of (H,rho) control the possible blow-up (see Rozanova in Proceedings of symposia in applied mathematics, 2009; Xin in Commun Pure Appl Math 51:0229-0240, 1998; Yuan and Zhao in Kinet Relat Models 7:195-203, 2014) for strong solutions.
引用
收藏
页码：769 / 790
页数：22
相关论文
共 50 条
12345