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We study the incompressible limit of the compressible non-isentropicmagnetohydrodynamic equations with zero magnetic diffusivity and generalinitial data in the whole space $\mathbb{R}^d$ $(d=2,3)$. We first establishthe existence of classic solutions on a time interval independent of the Machnumber. Then, by deriving uniform a priori estimates, we obtain the convergenceof the solution to that of the incompressible magnetohydrodynamic equations asthe Mach number tends to zero.

Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity