The study of the basic model for incompressible two-phase flows with phase transitions in the case of equal densities, initiated in the paper Pr¨uss, Shibata, Shimizu, and Simonett , is continued here with a stability analysis of equilibria and results on asymptotic behaviour of global solutions. The results parallel those for the thermodynamically consistent Stefan problem with surface tension obtained in Prüss, Simonett, and Zacher .
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Gottfried Anger, Gieri Simonett, Rico Zacher, On the qualitative behaviour of incompressible two-phase flows with phase transitions: The case of equal densities. Interfaces Free Bound. 15 (2013), no. 4, pp. 405–428DOI 10.4171/IFB/308