Nonuniqueness of solutions of Riemann problems

DOI10.1007/BF00920046zbMath0880.35068OpenAlexW1989565448MaRDI QIDQ1366336

Bradley J. Plohr, Dan Marchesin, Kevin Zumbrun, Arthur V. Azevedo

Publication date: 28 January 1998

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00920046

zbMATH Keywords

viscous profilesystems of two conservation lawsRiemann initial-value problems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items (9)

A stability index for detonation waves in Majda's model for reacting flow ⋮ Nonuniqueness for the vanishing viscosity solution with fixed initial condition in a nonstrictly hyperbolic system of conservation laws ⋮ Eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws via geometric singular perturbation theory ⋮ Stability of undercompressive shock profiles ⋮ Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD ⋮ Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems ⋮ Conditional stability of unstable viscous shocks ⋮ Nonexistence of Riemann solutions for a quadratic model deriving from petroleum engineering ⋮ Nonexistence of Riemann solutions for a quadratic model derived from petroleum engineering

Cites Work

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• Hyperbolic systems of conservation laws II
• On the riemann problem for a prototype of a mixed type conservation law
• The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
• Dynamical stability and vanishing viscosity: A case study of a non-strictly hyperbolic system
• The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
• Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media
• Multiple Viscous Solutions for Systems of Conservation Laws

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