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

DOI10.4171/IFB/354zbMath1336.35373arXiv1412.5222MaRDI QIDQ5963016

Yuanzhen Shao, Jan W. Prüss, Gieri Simonett

Publication date: 25 February 2016

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5222

zbMATH Keywords

phase transitionsStefan problemfree boundary problemsimplicit function theoremmaximal regularityreal analytic solutionsregularity of moving interfaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Free boundary problems for PDEs (35R35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Moving boundary problems for PDEs (35R37)

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