The Riemann problem for a class of nonlinear degenerate equations

DOI10.1016/j.jmaa.2012.04.068zbMath1255.35168OpenAlexW2029336430MaRDI QIDQ439240

Zhen Wang, Ting-Ting Zhang

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.068

zbMATH Keywords

invariant regionsrarefaction wavesLiu-entropy condition

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
• Convergence of approximate solutions to conservation laws
• The Riemann problem for a class of conservation laws of mixed type
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• Convergence of the viscosity solutions for the system of nonlinear elasticity
• Positively invariant regions for a problem in phase transitions
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Uniqueness of admissible solutions of the Riemann problem for a system of conservation laws of mixed type
• The Entropy Rate Admissibility Criterion and the Entropy Condition for a Phase Transition Problem: The Isothermal Case

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