Nonstrictly hyperbolic systems with stiff relaxation terms

DOI10.1016/j.jmaa.2006.01.051zbMath1139.35376OpenAlexW2058896970MaRDI QIDQ852855

Yun-Guang Lu

Publication date: 15 November 2006

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.2006.01.051

zbMATH Keywords

singular limitrelaxation approximationcompensated compactness methodextended traffic flow model

Mathematics Subject Classification ID

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

Related Items (3)

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind ⋮ Extrapolation methods to compute hypersingular integral in boundary element methods ⋮ The Puiseux expansion and numerical integration to nonlinear weakly singular Volterra integral equations of the second kind

Cites Work

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• Convergence of the viscosity method for a nonstrictly hyperbolic conservation law
• Materials with internal variables and relaxation to conservation laws
• The zero relaxation limit for the hydrodynamic Whitham traffic flow model
• Singular limits of stiff relaxation and dominant diffusion for nonlinear systems
• Convergence of the viscosity method for some nonlinear hyperbolic systems
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Viscosity and relaxation approximations for a hyperbolic-elliptic mixed type system

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