Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case

被引：1

作者：

Pruss, Jan ^{[1
]}

Shimizu, Senjo ^{[2
]}

机构：

[1] Martin Luther Univ Halle Wittenberg, Inst Math, D-06120 Halle, Germany

[2] Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2017年 / 127卷 / 05期

关键词：

Two-phase incompressible flows; Navier-Stokes equations; free boundary problems; surface tension; isothermal; phase transitions; stability; convergence to equilibria; Q WELL-POSEDNESS;

D O I：

10.1007/s12044-017-0365-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A thermodynamically consistent model for incompressible two-phase flows with phase transitions is considered mathematically. The model is based on first principles, i.e., balance of mass, momentum and energy. In the isothermal case, this problem is analysed to obtain local well-posedness, stability of non-degenerate equilibria, and global existence and convergence to equilibria of solutions which do not develop singularities.

引用

页码：815 / 831

页数：17

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