Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary

Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary
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具有完美传导边界的有界域中可压缩磁流体动力学方程的全局存在性和低马赫数极限

DOI:
10.1007/s00033-013-0311-7
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发表时间:
2013-02
影响因子:
2
通讯作者:
Qiangchang Ju
Qiangchang Ju
中科院分区:
数学3区
文献类型:
--
作者:
Changsheng Dou;Song Jiang;Qiangchang Ju

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研究了具有完全导电边界的有界光滑区域上的可压缩磁流体动力学方程,证明了该方程在静止状态周围光滑解的整体存在唯一性。此外,在初始数据准备充分的情况下,始终验证了解的低马赫极限。
We study the compressible magnetohydrodynamic equations in a bounded smooth domain inwith perfectly conducting boundary, and prove the global existence and uniqueness of smooth solutions around a rest state. Moreover, the low Mach limit of the solutions is verified for all time, provided that the initial data are well prepared.
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