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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| Authors: | Changsheng Dou Song Jiang Qiangchang Ju |
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| Institution: | 1. School of Statistics, Capital University of Economics and Business, Beijing, 100070, People’s Republic of China
2. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, People’s Republic of China
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| Abstract: | We study the compressible magnetohydrodynamic equations in a bounded smooth domain in ${{\mathbb{R}}^2}$ with 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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