The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains

This paper verifies the low Mach number limit of the non-isentropic compressible magnetohydrodynamic (MHD) equations with or without the magnetic diffusion in a three-dimensional bounded domain when the temperature variation is large but finite. The uniform estimates of strong solutions are established in a short time interval independent of the Mach number, provided that the slip boundary condition for the velocity and the Neumann boundary condition for the temperature are imposed and the initial data is well-prepared.