Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densitiesReport as inadecuate



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


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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.



Author: Jan Pruess; Senjo Shimizu; Mathias Wilke

Source: https://archive.org/







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