Global Attractors for an Extensible Thermoelastic Beam System

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dc.creatorGiorgi, C.
dc.creatorNaso, M. G.
dc.creatorPata, V.
dc.creatorPotomkin, M.
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:34:50Z
dc.date.available2026-07-07T12:34:50Z
dc.descriptionThis work is focused on the dissipative system describing the dynamics of an extensible thermoelastic beam, where the dissipation is entirely contributed by the second equation ruling the evolution of the temperature. Under natural boundary conditions, we prove the existence of bounded absorbing sets. When both the external body force and the heat source are time-independent, the related semigroup of solutions is shown to possess the global attractor of optimal regularity for all values of the external axial load. The same result holds true when the rotational inertia is taken into consideration. In both cases, the solutions on the attractor are strong solutions.
dc.description21 pages, no figure
dc.identifierhttps://arxiv.org/abs/0901.4194
dc.identifierhttp://arxiv.org/abs/0901.4194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217576
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject35B41, 37B25, 74F05, 74K10, 74H60
dc.titleGlobal Attractors for an Extensible Thermoelastic Beam System
dc.typetext

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