A class of linearizable models and generation of material response functions to nonlinear hyperbolic heat conduction

DOI10.1063/1.529049zbMath0742.35069OpenAlexW2040870862MaRDI QIDQ3987401

Domenico Fusco, Natale Manganaro

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529049

zbMATH Keywords

conservation lawmaterial response functionsnonlinear hyperbolic heat conduction

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60)

Related Items (10)

Riemann invariants-like solutions for a class of rate-type materials ⋮ Lie group analysis and Riemann problems for a \(2\times 2\) system of balance laws ⋮ A method for determining exact solutions to a class of nonlinear models based on introduction of differential constraints ⋮ Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs ⋮ Exact solutions to a class of quasilinear hyperbolic systems ⋮ Geometric approach for finding exact solutions to nonlinear partial differential equations ⋮ Linearization of nonautonomous models describing fluid filled elastic tubes and nonlinear elastic rods with variable cross-section ⋮ Group analysis and linearization procedure for a nonautonomous model describing rate-type materials ⋮ Reduction of nonhomogeneous quasilinear 2×2 systems to homogeneous and autonomous form ⋮ How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones

Cites Work

• Linearization of a hyperbolic model for non-linear heat conduction through hodograph-like and Bäcklund transformation
• Reduction to linear canonical forms and generation of conservation laws for a class of quasilinear hyperbolic systems
• On the problem of diffusion in solids
• On the thermodynamics of second sound in dielectric crystals
• Method of Lagrange multipliers for exploitation of the entropy principle
• Hyperbolic systems of conservation laws II
• Exact Solutions for Large Amplitude Waves in Dispersive and Dissipative Systems

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