Discontinuity waves, shock formation and critical temperature in crystals

DOI10.1006/jmaa.1999.6592zbMath0953.35096OpenAlexW1970055923MaRDI QIDQ1969991

Leonardo Seccia, Augusto Muracchini

Publication date: 19 March 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.1999.6592

zbMATH Keywords

nonlinear waves in solidsgeneralized Maxwell-Cattaneo equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear waves in solid mechanics (74J30) First-order nonlinear hyperbolic equations (35L60)

Related Items

Nonlinear heat wave propagation in a rigid thermal conductor ⋮ Influence of nonlinearity of the phonon dispersion relation on wave velocities in the four-moment maximum entropy phonon hydrodynamics ⋮ On the non-linear Maxwell-Cattaneo equation with non-constant diffusivity: Shock and discontinuity waves

Cites Work

• On the evolution law of weak discontinuities for hyperbolic quasi-linear systems
• Second sound and internal energy in solids
• A high resolution scheme for the numerical simulation of second sound in crystals
• On second sound at the critical temperature
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