Discrete and continuous scalar conservation laws

DOI10.1177/1081286510382821zbMath1269.74012OpenAlexW2157876108MaRDI QIDQ2842394

James K. Knowles, Rohan C. Abeyaratne

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510382821

zbMATH Keywords

entropydissipationshock wavesfield equationsdiscrete conservation lawscontinuous conservation laws

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Hyperbolic conservation laws (35L65) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Cites Work

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• DRIVING FORCE AND KINETIC RELATIONS FOR SCALAR CONSERVATION LAWS
• Micro–macro transition in the atomic chain via Whitham's modulation equation
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Hyperbolic Conservation Laws in Continuum Physics

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