Delta shock waves for a system of Keyfitz‐Kranzer type

DOI10.1002/ZAMM.201700251OpenAlexW2901683496MaRDI QIDQ6194390

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Publication date: 14 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700251

zbMATH Keywords

vanishing viscosity methoddelta shock waveKeyfitz-Kranzer type

Mathematics Subject Classification ID

Hyperbolic equations and hyperbolic systems (35Lxx) Qualitative properties of solutions to partial differential equations (35Bxx) General topics in partial differential equations (35Axx)

Related Items (3)

Riemann problems and wave interactions for a non-symmetric Keyfitz–Kranzer system with a source term ⋮ Riemann problem and wave interactions for a Temple-class hyperbolic system of conservation laws ⋮ Delta shock solution for a generalized zero-pressure gas dynamics system with linear damping

Cites Work

• Unnamed Item
• Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type
• Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
• Delta shock waves for a linearly degenerate hyperbolic system of conservation laws of Keyfitz-Kranzer type
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• Delta-shock waves as self-similar viscosity limits
• Resurrection of "Second Order" Models of Traffic Flow

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