Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- the isothermal incompressible case

DOI10.3934/dcdss.2017034zbMath1390.35258OpenAlexW2607508921MaRDI QIDQ524544

Dieter Bothe, Jan W. Prüss

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2017034

zbMATH Keywords

mass transferphase transitionchemical reactionsmaximal regularityconvergence to equilibriatwo-phase flowsavailable energygeneralized principle of linearized stabilityquasi-linear parabolic evolution equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Interfacial stability and instability in hydrodynamic stability (76E17) Reaction effects in flows (76V05) Other free boundary flows; Hele-Shaw flows (76D27) Moving boundary problems for PDEs (35R37) Quasilinear parabolic equations (35K59)

Related Items (11)

Reacting multi-component fluids: regular solutions in Lorentz spaces ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ Global-in-time existence for liquid mixtures subject to a generalised incompressibility constraint ⋮ Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ On the structure of continuum thermodynamical diffusion fluxes -- a novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach ⋮ On the isothermal compressible multi-component mixture flow: the local existence and maximal \(L_p-L_q\) regularity of solutions ⋮ Mass transport in multicomponent compressible fluids: local and global well-posedness in classes of strong solutions for general class-one models ⋮ Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type ⋮ A theory of generalised solutions for ideal gas mixtures with Maxwell-Stefan diffusion ⋮ Well-posedness analysis of multicomponent incompressible flow models ⋮ On Strong Dynamics of Compressible Two-Component Mixture Flow

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