GLOBAL CLASSICAL SOLUTIONS TO THE FREE BOUNDARY PROBLEM OF PLANAR FULL MAGNETOHYDRODYNAMIC EQUATIONS WITH LARGE INITIAL DATA

被引：5

作者：

Ou, Yaobin ^{[1
]}

Shi, Pan ^{[1
]}

机构：

[1] Renmin Univ China, Sch Informat, Dept Math, Beijing 100872, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 02期

关键词：

Magnetohydrodynamics (MHD); free boundary problem; vacuum; global classical solutions; large initial data; NAVIER-STOKES EQUATIONS; COMPRESSIBLE EULER EQUATIONS; DENSITY-DEPENDENT VISCOSITY; PHYSICAL VACUUM; WELL-POSEDNESS; INTERFACE BEHAVIOR; SMOOTH SOLUTIONS; EXISTENCE; FLOW; COEFFICIENT;

D O I：

10.3934/dcdsb.2017026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The free boundary problem of planar full compressible magneto hydrodynamic equations with large initial data is studied in this paper, when the initial density connects to vacuum smoothly. The global existence and uniqueness of classical solutions are established, and the expanding rate of the free interface is shown. Using the method of Lagrangian particle path, we derive some L-infinity estimates and weighted energy estimates, which lead to the global existence of classical solutions. The main difficulty of this problem is the degeneracy of the system near the free boundary, while previous results (cf. [4, 30]) require that the density is bounded from below by a positive constant.

引用

页码：537 / 567

页数：31

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