Cauchy problem for hyperbolic conservation laws with a relaxation term

DOI10.1017/S0308210500023088zbMath0871.35059OpenAlexW2335312197MaRDI QIDQ4894586

Christian Klingenberg, Yun-Guang Lu

Publication date: 26 August 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500023088

zbMATH Keywords

Young measuresglobal weak solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items

A relaxation scheme for conservation laws with a discontinuous coefficient, Time-Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System, A mixed type system of three equations modelling reacting flows, Analysis of the Zero Relaxation Limit of Hyperbolic Balance Laws with Random Initial Data, Singular limits of stiff relaxation and dominant diffusion for nonlinear systems

Cites Work

• A Qualitative Model for Dynamic Combustion
• Cauchy problem for an extended model of combustion
• The global Hölder-continuous solution of isentropic gas dynamics
• Zero relaxation and dissipation limits for hyperbolic conservation laws
• Convergence of the viscosity method for some nonlinear hyperbolic systems
• Cauchy problem for a hyperbolic model