DRIVING FORCE AND KINETIC RELATIONS FOR SCALAR CONSERVATION LAWS

DOI10.1142/S0219891607001057zbMath1168.35030MaRDI QIDQ3435279

James K. Knowles

Publication date: 25 April 2007

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

zbMATH Keywords

kinetic relationentropy production ratedriving forcescalar conservation law

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Shocks and related discontinuities in solid mechanics (74J40) Nonlinear waves in solid mechanics (74J30) Ill-posed problems for PDEs (35R25) Hyperbolic conservation laws (35L65)

Related Items (1)

Discrete and continuous scalar conservation laws

Cites Work

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• Stress-induced phase transitions in elastic solids
• Unstable kinetic relations and the dynamics of solid-solid phase transitions
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• Impact-Induced Tensile Waves in a Rubberlike Material
• On non-entropy solutions of scalar conservation laws for traffic flow

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