Structural stability and convergence in thermoelasticity and heat conduction with relaxation times

DOI10.1080/00036810310001632826zbMath1112.74010OpenAlexW1995538989MaRDI QIDQ4825437

Ramón Quintanilla

Publication date: 28 October 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001632826

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55)

Cites Work

• Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds
• Exponential stability in the dual-phase-lag heat conduction theory
• A generalized dynamical theory of thermoelasticity
• Continuous Dependence on the Initial-Time Geometry in Generalized Heat Conduction
• EFFECTS OF ERRORS IN THE INITIAL-TIME GEOMETRY ON THE SOLUTION OF THE HEAT EQUATION IN AN EXTERIOR DOMAIN
• Thermoelasticity with Second Sound: A Review
• Structural stability for the Darcy equations of flow in porous media
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Convergence of the Equations for a Maxwell Fluid

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