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arXiv · 1301.5126

Incompressible limit of the non-isentropic ideal magnetohydrodynamic equations

Song Jiang·Qiangchang Ju·Fucai Li
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Abstract

We study the incompressible limit of the compressible non-isentropic ideal magnetohydrodynamic equations with 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. 2013-01-22. Incompressible limit of the non-isentropic ideal magnetohydrodynamic equations. https://doi.org/10.1137/15m102842x

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