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arXiv · 1304.3302

Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densities

Jan Pruess·Senjo Shimizu·Mathias Wilke
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Abstract

Our study of a basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics in the case of constant but non-equal densities of the phases, begun by the first two authors is continued. We extend our well-posedness result to general geometries, study the stability of the equilibria of the problem, and show that a solution which does not develop singularities exists globally. If its limit set contains a stable equilibrium it converges to this equilibrium as time goes to infinity, in the natural state manifold for the problem in an Lp-setting.

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Jan Pruess, Senjo Shimizu, Mathias Wilke. 2013-04-11. Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densities. https://arxiv.org/abs/1304.3302

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