JournalsifbVol. 15, No. 4pp. 405–428

On the qualitative behaviour of incompressible two-phase flows with phase transitions: The case of equal densities

  • Gottfried Anger

    Martin-Luther-Universität Halle-Wittenberg, Germany
  • Gieri Simonett

    Vanderbilt University, Nashville, United States
  • Rico Zacher

    Martin-Luther-Universität Halle-Wittenberg, Germany
On the qualitative behaviour of incompressible two-phase flows with phase transitions: The case of equal densities cover
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Abstract

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 [16], 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 [20].

Cite this article

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. 405–428

DOI 10.4171/IFB/308