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

Jan Pruess; Yuanzhen Shao; Gieri Simonett

doi:10.4171/IFB/354

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

Analysis of PDEs 2016-12-19 v1

Authors: Jan Pruess , Yuanzhen Shao , Gieri Simonett

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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.

Keywords

two-phase Stefan problem surface tension free boundary regularity $L_p$-maximal regularity implicit function theorem diffeomorphisms

Cite

@article{arxiv.1412.5222,
  title  = {On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension},
  author = {Jan Pruess and Yuanzhen Shao and Gieri Simonett},
  journal= {arXiv preprint arXiv:1412.5222},
  year   = {2016}
}

Comments

42 pages

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