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In this article, we verify the low Mach number limit of strong solutions tothe non-isentropic compressible magnetohydrodynamic equations with zeromagnetic diffusivity and ill-prepared initial data in three-dimensional boundeddomains, when the density and the temperature vary around constant states.Invoking a new weighted energy functional, we establish the uniform estimateswith respect to the Mach number, especially for the spatial derivatives of highorder. Due to the vorticity-slip boundary condition of the velocity, wedecompose the uniform estimates into the part for the fast variables and theother one for the slow variables. In particular, the weighted estimates ofhighest-order spatial derivatives of the fast variables are crucial for theuniform bounds. Finally, the low Mach number limit is justified by the strongconvergence of the density and the temperature, the divergence-free componentof the velocity, and the weak convergence of other variables. The methods inthis paper can be applied to singular limits of general hydrodynamic equationsof hyperbolic-parabolic type, including the full Navier-Stokes equations.

Low Mach number limit for non-isentropic magnetohydrodynamic equations with ill-prepared data and zero magnetic diffusivity in bounded domains