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

2013/10/16 by Jan Pruess, Senjo Shimizu, Pruess, Jan +5
Earth and Planetary Sciences · Mathematics · #35Q30 #35R35 #76D45 #76T10 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1310.4341

openalex publication_date 2013/10/16 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

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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