Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- the isothermal incompressible case
type: Item
instance of: scholarly article
title: Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- the isothermal incompressible case
zbMATH Open document ID: 1390.35258
author: Dieter Bothe
author: Jan Pruess
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2017-05-03T00:00:00Z
review text: The authors discuss the isothermal incompressible multi-component two-phase flows with mass transfer, chemical reactions, and phase transition based on first principles. They prove that the resulting system is thermodynamically consistent in the sense that the available energy is a strict Lyapunov functional, and the equilibria are identified. They prove that the problem is well-posed in an \(L_p\)-setting, and generates a local semiflow in the proper state manifold. They prove that each non-degenerate equilibrium is dynamically stable in the natural state manifold. Finally, they prove that a solution, which doesn't develop singularities, exists globally and converges to an equilibrium in the state manifold. The paper is interesting and deep.
reviewed by: Ming Xu
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D27
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 35R37
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 6710662
zbMATH Keywords: two-phase flows
zbMATH Keywords: phase transition
zbMATH Keywords: mass transfer
zbMATH Keywords: chemical reactions
zbMATH Keywords: available energy
zbMATH Keywords: quasi-linear parabolic evolution equations
zbMATH Keywords: maximal regularity
zbMATH Keywords: generalized principle of linearized stability
zbMATH Keywords: convergence to equilibria
MaRDI profile type: Publication
full work available at URL: dcdss.2017034
OpenAlex ID: W2607508921
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DOI: 10.3934/DCDSS.2017034
description: scientific article; zbMATH DE number 6710662