Strong viscous shocks for systems of conservation laws with a high order of dissipation

DOI10.1016/0022-0396(88)90025-3zbMath0673.35074OpenAlexW2044931545MaRDI QIDQ1120750

Daniel Michelson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90025-3

zbMATH Keywords

regularitytravelling wavesConley indexshock wavessystems of conservation lawsTopological methodsentropy functionglobal behaviorviscous shock profilesautonomous system of ordinary differential equationsgradient-flux formtajectories

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Waves for incompressible viscous fluids (76D33)

Related Items

Undercompressive shocks in thin film flows., Existence of Solutions Describing Accumulation in a Thin-Film Flow

Cites Work

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• A topological degree for orbits connecting critical points of autonomous systems
• Discrete shocks for difference approximations to systems of conservation laws
• On the symmetric form of systems of conservation laws with entropy
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