On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension
Gottfried Anger
Martin-Luther-Universität Halle-Wittenberg, GermanyYuanzhen Shao
Vanderbilt University, Nashville, USAGieri Simonett
Vanderbilt University, Nashville, United States
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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, -maximal regularity theory, and the implicit function theorem.
Cite this article
Gottfried Anger, Yuanzhen Shao, Gieri Simonett, On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension. Interfaces Free Bound. 17 (2015), no. 4, pp. 555–600
DOI 10.4171/IFB/354