Hyperbolic systems with relaxation: Characterization of stiff well-posedness and asymptotic expansions

DOI10.1006/jmaa.1999.6400zbMath0940.35126OpenAlexW2013059411MaRDI QIDQ1304644

Jens Lorenz, H. Joachim Schroll

Publication date: 27 July 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6400

zbMATH Keywords

equilibrium limitlarge relaxationtwo-phase flow in a porous medium

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) First-order hyperbolic systems (35L40)

Cites Work

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• Hyperbolic conservation laws with relaxation
• Singular perturbations of first-order hyperbolic systems with stiff source terms
• Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems)
• The structure of asymptotic states in a singular system of conservation laws
• Zero relaxation and dissipation limits for hyperbolic conservation laws
• Hyperbolic conservation laws with stiff relaxation terms and entropy

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