On incompressible two-phase flows with phase transitions and variable surface tension
Analysis of PDEs
2014-05-23 v2
Abstract
Our study of the basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics [10,11,12,16] is extended to the case of temperature-dependent surface tension. We prove well-posedness in an Lp-setting, study the stability of the equilibria of the problem, and show that a solution which does not develop singularities exists globally, and if its limit set contains a stable equilibrium it converges to this equilibrium in the natural state manifold for the problem as time goes to infinity.
Cite
@article{arxiv.1310.4341,
title = {On incompressible two-phase flows with phase transitions and variable surface tension},
author = {Jan Pruess and Senjo Shimizu and Gieri Simonett and Mathias Wilke},
journal= {arXiv preprint arXiv:1310.4341},
year = {2014}
}
Comments
28 pages. arXiv admin note: substantial text overlap with arXiv:1304.3302