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arXiv · 1111.2926

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

Song Jiang·Qiangchang Ju·Fucai Li
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Abstract

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

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Song Jiang, Qiangchang Ju, Fucai Li. 2011-11-12. Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity. https://arxiv.org/abs/1111.2926

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