Low Mach number limit for the compressible non-isentropic magnetohydrodynamic equations

Abstract

We summarize our recent results on the low Mach number limit for the compressible non-isentropic magnetohydrodynamic equations. We consider two cases: (i) small variations on density and temperature with well-prepared initial data; (ii) large variations on density and temperature with ill-prepared initial data. In both cases, we establish the limits rigorously.