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Low Mach limit to one-dimensional nonisentropic planar compressible magnetohydrodynamic equations. (English) Zbl 1446.35134

Summary: This paper is concerned with a one-dimensional nonisentropic compressible planar magnetohydrodynamic flow with general initial data, whose behaviors at far fields \(x \rightarrow \pm \infty\) are different. The low Mach limit for the system is rigorously justified. The limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma.

MSC:

35Q35 PDEs in connection with fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76W05 Magnetohydrodynamics and electrohydrodynamics
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