Linear relativistic thermoelastic rod

DOI10.1142/S0219891620500289zbMath1471.74041arXiv2001.07728OpenAlexW3126827709WikidataQ115245178 ScholiaQ115245178MaRDI QIDQ5006981

José Natário, Anne T. Franzen

Publication date: 18 August 2021

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

Full work available at URL: https://arxiv.org/abs/2001.07728

zbMATH Keywords

energy integralFourier decompositionheat wave speedlinear relativistic thermoelasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Cites Work

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• Hyperbolic partial differential equations
• Exponential energy decay in a linear thermoelastic rod
• Self-gravitating relativistic fluids: A two-phase model
• A generalized dynamical theory of thermoelasticity
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Relativistic elasticity of dissipative media and its wave propagation modes
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Elastic shocks in relativistic rigid rods and balls
• Tolman temperature gradients in a gravitational field
• Heat waves