JournalsifbVol. 17, No. 4pp. 555–600

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

  • Gottfried Anger

    Martin-Luther-Universität Halle-Wittenberg, Germany
  • Yuanzhen Shao

    Vanderbilt University, Nashville, USA
  • Gieri Simonett

    Vanderbilt University, Nashville, United States
On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension cover
Download PDF

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, LpL_p-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