Modeling of Two-Phase Flows With and Without Phase Transitions

Jan W. Prüss () and Senjo Shimizu ()
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Jan W. Prüss: Martin-Luther-Universität, Halle-Wittenberg, Institut für Mathematik
Senjo Shimizu: Kyoto University, Graduate School of Human and Environmental Studies

Chapter 21 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 1007-1044 from Springer

Abstract: Abstract The purpose of this chapter is to explain the modeling of one-component two-phase flows with moving interface in some detail. The models are derived from first principles, and some of the main structural properties are presented. In particular, the models are shown to be thermodynamically consistent, the equilibria are identified, and their thermodynamic stability properties are discussed. In addition, several analytical results in the incompressible case with phase transition are presented, which include topics like the short-time well-posedness, local semiflow, stability of equilibria, long-time existence, and convergence to equilibria.

Date: 2018
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DOI: 10.1007/978-3-319-13344-7_24

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