On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension
Jan Prüss, Yuanzhen Shao, Gieri Simonett · Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2016
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.