GLOBAL CLASSICAL SOLUTIONS TO 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH LARGE OSCILLATIONS AND VACUUM

被引：163

作者：

Li, Hai-Liang ^{[1
]}

Xu, Xinying ^{[2
]}

Zhang, Jianwen ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2013年 / 45卷 / 03期

关键词：

compressible magnetohydrodynamic equations; vacuum; large oscillations; global classical solution; large-time behavior; NAVIER-STOKES EQUATIONS; BOUNDARY VALUE-PROBLEM; WEAK SOLUTIONS;

D O I：

10.1137/120893355

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem of three-dimensional isentropic compressible magnetohydrodynamic equations in the present paper. For regular initial data with small energy but possibly large oscillations, we prove the global well-posedness of classical solution, where the flow density is allowed to contain vacuum states, and the large-time behavior of the solution is also shown.

引用

页码：1356 / 1387

页数：32

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