Singular and selfsimilar solutions for Euler equations with phase transitions

DOI10.1007/S00574-016-0185-3zbMath1362.35224OpenAlexW2462416259MaRDI QIDQ504631

Ferdinand Thein, Maren Hantke

Publication date: 17 January 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0185-3

zbMATH Keywords

Euler equationsphase transitionsharp interface modeldelta shocktwo phase flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Phase transitions (general) in equilibrium statistical mechanics (82B26) Liquid-gas two-phase flows, bubbly flows (76T10) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Related Items (2)

Formation of \(\delta\)-shock waves in isentropic fluids ⋮ A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs

Cites Work

• Unnamed Item
• Modeling phase transition for compressible two-phase flows applied to metastable liquids
• Kinetic relations and the propagation of phase boundaries in solids
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• On the Becker/Döring theory of nucleation of liquid droplets in solids
• Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition

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