Fast-slow dynamics for parabolic perturbations of conservation laws

DOI10.1080/03605309608821239zbMath0858.35080OpenAlexW1996669009MaRDI QIDQ4715665

Florence Hubert, Denis Serre

Publication date: 23 March 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821239

zbMATH Keywords

periodic initial dataKeyfitz-Kranzer's system

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Perturbations in context of PDEs (35B20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (5)

Viscous perturbations of isotropic solutions of the Keyfitz-Kranzer system ⋮ Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems ⋮ Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems ⋮ Slow dynamics in reaction–diffusion systems ⋮ Numerical comparison between relaxation and nonlinear equilibrium models. Application to chemical engineering

Cites Work

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• Rotational degeneracy of hyperbolic systems of conservation laws
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
• Error estimates for oscillatory solutions to hyperbolic systems of conservation laws

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