On initial-boundary value problems for symmetric nonhyperbolic systems of partial differential equations

DOI10.1007/s00161-006-0029-2zbMath1161.76058OpenAlexW2046207009MaRDI QIDQ1018438

Michael Sever

Publication date: 20 May 2009

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-006-0029-2

zbMATH Keywords

continuous mapsvanishing viscositytwo-fluid flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid-gas two-phase flows, bubbly flows (76T10)

Cites Work

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• Hyperbolic two-pressure models for two-phase flow
• Two-phase flow: Models and methods
• Theory of multicomponent fluids
• Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow
• Parabolic problems which are ill-posed in the zero dissipation limit
• Symmetric positive linear differential equations
• Viscous singular shock structure for a nonhyperbolic two-fluid model
• Solutions of a nonhyperbolic pair of balance laws

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