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

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

2011-11-12

arxiv.org/abs/1111.2925v1

Mathematics

Analysis of PDEs

28pages

Scientific paper

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 estimates of the solutions in Sobolev space are obtained on a time interval independent of the Mach number. The limits are proved by using a theorem of G. M\'etiver & S. Schochet that established the decay of energy of the acoustic equations.

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