Asymptotic behavior of a thermoviscoelastic plate with memory effects

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dc.creatorGrasselli, Maurizio
dc.creatorRivera, Jaime E. Munoz
dc.creatorSquassina, Marco
dc.date2008-06-05
dc.date2008-10-10
dc.date.accessioned2026-07-07T10:08:38Z
dc.date.available2026-07-07T10:08:38Z
dc.descriptionWe consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. The system consists of a hyperbolic integrodifferential equation, governing the temperature, which is linearly coupled with the partial differential equation ruling the evolution of the vertical deflection, presenting a convolution term accounting for memory effects. It is also assumed that the thermal power contains a memory term characterized by a relaxation kernel. We prove that the system is exponentially stable and we obtain a closeness estimate between the system with memory effects and the corresponding memory-free limiting system, as the kernels fade in a suitable sense.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0806.0965
dc.identifierhttp://arxiv.org/abs/0806.0965
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171061
dc.subjectAnalysis of PDEs
dc.subject35B25, 35B35, 35B40, 45K05, 47D03, 74F05, 74K20
dc.titleAsymptotic behavior of a thermoviscoelastic plate with memory effects
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