Geodesic
On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension
Jan Prüss1 ; Yuanzhen Shao2 ; Gieri Simonett3
1Martin-Luther-Universität Halle-Wittenberg, Germany
2Vanderbilt University, Nashville, USA
3Vanderbilt University, Nashville, United States
Interfaces and free boundaries, Tome 17 (2015) no. 4, pp. 555-600

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DOI

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, Lp​-maximal regularity theory, and the implicit function theorem.
DOI : 10.4171/ifb/354
Classification : 35-XX, 82-XX
Mots-clés : Free boundary problems, phase transitions, the Stefan problem, regularity of moving interfaces, real analytic solutions, maximal regularity, the implicit function theorem

Jan Prüss  1   ; Yuanzhen Shao  2   ; Gieri Simonett  3

1 Martin-Luther-Universität Halle-Wittenberg, Germany
2 Vanderbilt University, Nashville, USA
3 Vanderbilt University, Nashville, United States 
Jan Prüss; Yuanzhen Shao; Gieri Simonett. On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension. Interfaces and free boundaries, Tome 17 (2015) no. 4, pp. 555-600. doi: 10.4171/ifb/354
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     author = {Jan Pr\"uss and Yuanzhen Shao and Gieri Simonett},
     title = {On the regularity of the interface of a thermodynamically consistent two-phase {Stefan} problem with surface tension},
     journal = {Interfaces and free boundaries},
     pages = {555--600},
     year = {2015},
     volume = {17},
     number = {4},
     doi = {10.4171/ifb/354},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/354/}
}
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