Low frequency expansion in thermoelasticity with second sound in three dimensions

DOI10.2969/jmsj/06241289zbMath1207.35211OpenAlexW2081819610MaRDI QIDQ616658

Reinhard Racke, Yoshihiro Shibata, Yuka Naito

Publication date: 12 January 2011

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06241289

zbMATH Keywords

exterior domainresolvent expansionCattaneo's law

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

The Work of Yoshihiro Shibata

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• A generalized dynamical theory of thermoelasticity
• On Rayleigh Expansions in Thermoelastic Scattering
• NONLINEAR WELL-POSEDNESS AND RATES OF DECAY IN THERMOELASTICITY WITH SECOND SOUND
• Complete low frequency asymptotics for time-harmonic generalized Maxwell equations in nonsmooth exterior domains
• ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
• Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Sharp decay rates in parabolic and hyperbolic thermoelasticity
• L^p–L^q decay estimates for Cauchy problems of linear thermoelastic systems with second sound in three dimensions

This page was built for publication: Low frequency expansion in thermoelasticity with second sound in three dimensions