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arXiv · 2507.19268

Free boundary problem of low Mach number magnetohydrodynamic flows

Ruixi Zhang
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Abstract

In this paper we consider a free boundary problem of low Mach number magnetohydrodynamic flow in spatial dimension n $\geq$ 2. A priori estimates of the second fundamental form and various flow quantities in Sobolev norms are obtained by adopting the geometrical point of view introduced by Christodoulou and Lindblad [3]. Moreover, a blow up criterion is derived by using the method of Beale, Kato and Majda [2].

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Ruixi Zhang. 2025-07-25. Free boundary problem of low Mach number magnetohydrodynamic flows. https://arxiv.org/abs/2507.19268

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