Local well-posedness in critical spaces for the compressible MHD equations

被引：6

作者：

Bian, Dongfen ^{[1
,2
]}

Yuan, Baoquan ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454000, Henan, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 02期

基金：

中国国家自然科学基金;

关键词：

compressible MHD equations; Besov spaces; critical spaces; Littlewood-Paley theory; local well-posedness; NAVIER-STOKES EQUATIONS; SHALLOW-WATER EQUATIONS; HEAT-CONDUCTIVE GASES/; GLOBAL EXISTENCE; VISCOUS FLUIDS; CAUCHY-PROBLEM; DENSITY; FLOW;

D O I：

10.1080/00036811.2014.910651

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove local well-posedness in critical Besov spaces for the compressible MHD equations in R-N,R- N >= 2, under the assumptions that the initial density is bounded above and bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

引用

页码：239 / 269

页数：31

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