Liu, Xin; Wang, Lijuan Low Mach limit to one-dimensional nonisentropic planar compressible magnetohydrodynamic equations. (English) Zbl 1446.35134 Math. Methods Appl. Sci. 43, No. 2, 580-599 (2020). 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 Keywords:low Mach limit; nonisentropic magnetohydrodynamics (MHD); uniform estimates PDFBibTeX XMLCite \textit{X. Liu} and \textit{L. Wang}, Math. Methods Appl. Sci. 43, No. 2, 580--599 (2020; Zbl 1446.35134) Full Text: DOI