Geodesic
On the qualitative behaviour of incompressible two-phase flows with phase transitions: The case of equal densities
Jan Prüss1 ; Gieri Simonett2 ; Rico Zacher1
1Martin-Luther-Universität Halle-Wittenberg, Germany
2Vanderbilt University, Nashville, United States
Interfaces and free boundaries, Tome 15 (2013) no. 4, pp. 405-428

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DOI

The study of the basic model for incompressible two-phase flows with phase transitions in the case of equal densities, initiated in the paper Prüss, 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].
DOI : 10.4171/ifb/308
Classification : 35-XX, 76-XX, 80-XX
Mots-clés : Two-phase Navier-Stokes equations, surface tension, phase transitions, entropy, semiflow, stability, generalized principle of linearized stability, convergence to equilibria

Jan Prüss  1   ; Gieri Simonett  2   ; Rico Zacher  1

1 Martin-Luther-Universität Halle-Wittenberg, Germany
2 Vanderbilt University, Nashville, United States 
Jan Prüss; Gieri Simonett; Rico Zacher. On the qualitative behaviour of incompressible two-phase flows with phase transitions: The case of equal densities. Interfaces and free boundaries, Tome 15 (2013) no. 4, pp. 405-428. doi: 10.4171/ifb/308
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     title = {On the qualitative behaviour of incompressible two-phase flows with phase transitions: {The} case of equal densities},
     journal = {Interfaces and free boundaries},
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     year = {2013},
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     number = {4},
     doi = {10.4171/ifb/308},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/308/}
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