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On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension (1412.5222v1)
Published 16 Dec 2014 in math.AP
Abstract: We study the regularity of the free boundary arising in a thermodynamically consistent two-phase Stefan problem with surface tension by means of a family of parameter-dependent diffeomorphisms, $L_p$-maximal regularity theory, and the implicit function theorem.