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arXiv · 1111.2925

Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data

Song Jiang·Qiangchang Ju·Fucai Li·Zhouping Xin
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Abstract

The low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data is rigorously justified in the whole space $\mathbb{R}^3$. The uniform in Mach number estimates of the solutions in a Sobolev space are obtained on a time interval independent of the Mach number. The limit is proved by using the established uniform estimates and a theorem due to M\'etiver and Schochet [Arch. Ration. Mech. Anal. 158 (2001), 61-90] for the Euler equations that gives the local energy decay of the acoustic wave equations.

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Song Jiang, Qiangchang Ju, Fucai Li, Zhouping Xin. 2011-11-12. Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. https://arxiv.org/abs/1111.2925

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