Hyperbolic systems of balance laws with stiff source

DOI10.1016/j.jde.2023.08.003zbMath1530.35151OpenAlexW4386111954MaRDI QIDQ6048580

Constantine M. Dafermos

Publication date: 11 October 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.08.003

zbMATH Keywords

conservation lawsCauchy problemrelaxationzero relaxation limithyperbolic systems of balance laws

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Hyperbolic balance laws with relaxation
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Global BV solutions to a \(p\)-system with relaxation
• BV solutions for hyperbolic systems of balance laws with relaxation
• Global BV solutions and relaxation limit for a system of conservation laws
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II
• Global $BV$ Solutions for theP-System with Frictional Damping
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION
• Hyperbolic Conservation Laws in Continuum Physics