Asymptotic behaviour of thermoviscoelastic Berger plate

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dc.creatorPotomkin, Mykhailo
dc.date2008-08-27
dc.date.accessioned2026-07-07T09:58:41Z
dc.date.available2026-07-07T09:58:41Z
dc.descriptionSystem of partial differential equations with a convolution terms and non-local nonlinearity describing oscillations of plate due to Berger approach and with accounting for thermal regime in terms of Coleman-Gurtin and Gurtin-Pipkin law and fading memory of material is considered. The equation is transformed into a dynamical system in a suitable Hilbert space which asymptotic behaviour is analysed. Existence of the compact global attractor in this dynamical system and some of its properties are proved in this article. Main tool in analysis of asymptotic behaviour is stabilizability inequality.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0808.3685
dc.identifierhttp://arxiv.org/abs/0808.3685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167806
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject35B40; 35B41
dc.titleAsymptotic behaviour of thermoviscoelastic Berger plate
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