Decay properties of linear thermoelastic plates: Cattaneo versus Fourier law

DOI10.1080/00036811.2011.625015zbMath1270.35113OpenAlexW2081534591WikidataQ58245300 ScholiaQ58245300MaRDI QIDQ4908205

Belkacem Said-Houari

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.625015

zbMATH Keywords

decay rateFourier's lawCattaneo's lawsecond sound

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Thermal effects in solid mechanics (74F05) Asymptotic stability in control theory (93D20) PDEs in connection with control and optimization (35Q93)

Related Items (11)

Decay properties for evolution-parabolic coupled systems related to thermoelastic plate equations ⋮ Asymptotic profiles of solutions for regularity-loss-type generalized thermoelastic plate equations and their applications ⋮ A note on asymptotic profiles for the thermoelastic plate system ⋮ The Cauchy problem for thermoelastic plates with two temperatures ⋮ Stability of abstract thermo-elastic semigroups ⋮ Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law ⋮ General stability result of abstract thermoelastic system with infinite memory ⋮ On the Cauchy problem of the standard linear solid model with Fourier heat conduction ⋮ Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation ⋮ Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping ⋮ On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction

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