Abstract for the talk at 22.04.2014 (16:45 h)Oberseminar ANALYSIS - PROBABILITY
Gieri Simonett (Vanderbilt University, Nashville, USA)
On incompressible two-phase flows with phase transitions
A thermodynamically consistent model for incompressible two-phase fluid flows with phase transitions driven by temperature is introduced and analyzed. Concentrating on the case of equal densities, we establish well-posedness and study the qualitative behavior of solutions. In particular, we characterize all equilibria and study their stability properties. The entropy turns out to be an important quantity in the stability analysis.