On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension

Jan Prüss; Yuanzhen Shao; Gieri Simonett

doi:10.4171/ifb/354

JournalsifbVol. 17, No. 4pp. 555–600

On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension

Jan Prüss
Martin-Luther-Universität Halle-Wittenberg, Germany
- MathSciNet
- zbMATH Open
Yuanzhen Shao
Vanderbilt University, Nashville, USA
- MathSciNet
- zbMATH Open
Gieri Simonett
Vanderbilt University, Nashville, United States
- zbMATH Open

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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, $L_{p}$ -maximal regularity theory, and the implicit function theorem.

Cite this article

Jan Prüss, 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