- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:04
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
subscribers, moving wall 5 years
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
17
2015
4
On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension
Gottfried
Anger
Martin-Luther-Universität Halle-Wittenberg, HALLE, GERMANY
Yuanzhen
Shao
Vanderbilt University, NASHVILLE, UNITED STATES
Gieri
Simonett
Vanderbilt University, NASHVILLE, UNITED STATES
Free boundary problems, phase transitions, the Stefan problem, regularity of moving interfaces, real analytic solutions, maximal regularity, the implicit function theorem
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.
Partial differential equations
Statistical mechanics, structure of matter
555
600
10.4171/IFB/354
http://www.ems-ph.org/doi/10.4171/IFB/354