INCOMPRESSIBLE LIMIT OF THE NONISENTROPIC IDEAL MAGNETOHYDRODYNAMIC EQUATIONS

被引：33

作者：

Jiang, Song ^{[1
]}

Ju, Qiangchang ^{[2
]}

Li, Fucai ^{[3
]}

机构：

[1] Inst Appl Phys & Computat Math, Lab Computat Phys, POB 8009, Beijing 100088, Peoples R China

[2] Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2016年 / 48卷 / 01期

关键词：

compressible ideal MHD equations; nonisentropic; incompressible limit; MACH NUMBER LIMIT; COMPRESSIBLE EULER EQUATION; SINGULAR LIMITS; INITIAL LAYER; SYSTEMS; DOMAIN; FLOWS;

D O I：

10.1137/15M102842X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the incompressible limit of the compressible nonisentropic ideal magnetohydrodynamic equations with general initial data in the whole space Rd (d = 2, 3). We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.

引用

页码：302 / 319

页数：18

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