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

被引：4

作者：

Pruess, Jan ^{[1
]}

Simonett, Gieri ^{[2
]}

Zacher, Rico ^{[1
]}

机构：

[1] Univ Halle Wittenberg, Inst Math, D-60120 Halle, Germany

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

INTERFACES AND FREE BOUNDARIES | 2013年 / 15卷 / 04期

关键词：

Two-phase Navier-Stokes equations; surface tension; phase transitions; entropy; semiflow; stability; generalized principle of linearized stability; convergence to equilibria; CONDUCTION-CONVECTION PROBLEMS; CLASSICAL SOLVABILITY; STEFAN PROBLEM; MANIFOLD;

D O I：

10.4171/IFB/308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of the basic model for incompressible two-phase flows with phase transitions in the case of equal densities, initiated in the paper Prtiss, 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 Prtiss, Simonett, and Zacher [20].

引用

页码：405 / 428

页数：24

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