On a Thermodynamically Consistent Stefan Problem with Variable Surface Energy
Gieri Simonett, Vanderbilt University
Location: Stevenson 1307
A thermodynamically consistent two-phase Stefan problem with temperature-dependent surface tension and with or without kinetic undercooling is studied. It is shown that this problem generates a local semiflow on a well-defined state manifold. Moreover, stability and instability results of equilibrium configurations will be presented. It will be pointed out that surface heat capacity has a striking effect on the stability behavior of multiple equilibria. (Joint work with J. Prüss and M. Wilke).