Free boundary problem of low Mach number magnetohydrodynamic flows
Abstract
In this paper we consider a free boundary problem of low Mach number magnetohydrodynamic flow in spatial dimension n ≥ 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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