On the time-asymptotic behaviour of solutions in thermoelasticity

DOI10.1017/S0308210500031164zbMath0631.73007MaRDI QIDQ3768455

Reinhard Racke

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak convergenceevolution equationNeumann boundary conditionsunbounded domainslinear thermoelasticityboundedunique solutionDirichletInitial boundary value problemstime-asymptotic behaviour

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Inhomogeneity in solid mechanics (74E05) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05)

Related Items (11)

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space ⋮ Numerical solution to a nonlinear, one-dimensional problem of anisotropic thermoelasticity with volume force and heat supply in a half-space: interaction of displacements ⋮ Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity ⋮ Asymptotic behaviour in \(n\)-dimensional thermoelasticity ⋮ Existence and decay of weak solutions for systems arising in thermodynamics ⋮ Harmonic wave generation in nonlinear thermoelasticity ⋮ On the impossibility of localization in linear thermoelasticity ⋮ On the wave propagation in the thermoelasticity theory with two temperatures ⋮ Nonlinear boundary stabilization of an inhomogeneous and anisotropic thermoelasticity system ⋮ Exponential decay to a thermoelastic system with indefinite memory dissipation in a domain with moving boundary ⋮ Numerical solution for a nonlinear, one-dimensional problem of thermoelasticity

Cites Work

• Unnamed Item
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Spectral and scattering theory for symmetric hyperbolic systems in an exterior domain
• Zur Theorie elastischer Schwingungen in inhomogenen Medien
• On Sobolev-Friedrichs' generalisation of derivatives
• Außenraumaufgaben in der linearen Elastizitätstheorie
• Über das asymptotische Verhalten thermoelastischer Wellen im R³

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