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arXiv · 1310.4341

On incompressible two-phase flows with phase transitions and variable surface tension

Jan Pruess·Senjo Shimizu·Gieri Simonett·Mathias Wilke
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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.

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Jan Pruess, Senjo Shimizu, Gieri Simonett, Mathias Wilke. 2013-10-16. On incompressible two-phase flows with phase transitions and variable surface tension. https://arxiv.org/abs/1310.4341

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