Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system

This paper shows how the so called von Kármán model can be obtained as a singular limit of a modified Mindlin-Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth order dispersive operator is added. Introducing damping mechanism...

Descripción completa

Detalles Bibliográficos
Autores: Araruna, F.D., E Silva, P.B., Zuazua, E.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/491
Acceso en línea:http://hdl.handle.net/20.500.11824/491
Access Level:acceso abierto
Palabra clave:Mindlin-Timoshenko system
Singular limit
Uniform stabilization
Vibrating beams
Von Kármán system
id ES_8a08d3a065ebb6027c789b1c2b22909a
oai_identifier_str oai:bird.bcamath.org:20.500.11824/491
network_acronym_str ES
network_name_str España
repository_id_str
spelling Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko systemAraruna, F.D.E Silva, P.B.Zuazua, E.Mindlin-Timoshenko systemSingular limitUniform stabilizationVibrating beamsVon Kármán systemThis paper shows how the so called von Kármán model can be obtained as a singular limit of a modified Mindlin-Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth order dispersive operator is added. Introducing damping mechanisms, the authors also show that the energy of solutions for this modified Mindlin-Timoshenko system decays exponentially, uniformly with respect to the parameter k. As k → ∞, the authors obtain the damped von Kármán model with associated energy exponentially decaying to zero as well.201720172010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/491reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77954395725&doi=10.1007%2fs11424-010-0137-8&partnerID=40&md5=745ac3dbcff662d2e5ffceec7a369925Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/4912026-06-19T12:47:47Z
dc.title.none.fl_str_mv Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
title Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
spellingShingle Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
Araruna, F.D.
Mindlin-Timoshenko system
Singular limit
Uniform stabilization
Vibrating beams
Von Kármán system
title_short Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
title_full Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
title_fullStr Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
title_full_unstemmed Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
title_sort Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
dc.creator.none.fl_str_mv Araruna, F.D.
E Silva, P.B.
Zuazua, E.
author Araruna, F.D.
author_facet Araruna, F.D.
E Silva, P.B.
Zuazua, E.
author_role author
author2 E Silva, P.B.
Zuazua, E.
author2_role author
author
dc.subject.none.fl_str_mv Mindlin-Timoshenko system
Singular limit
Uniform stabilization
Vibrating beams
Von Kármán system
topic Mindlin-Timoshenko system
Singular limit
Uniform stabilization
Vibrating beams
Von Kármán system
description This paper shows how the so called von Kármán model can be obtained as a singular limit of a modified Mindlin-Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth order dispersive operator is added. Introducing damping mechanisms, the authors also show that the energy of solutions for this modified Mindlin-Timoshenko system decays exponentially, uniformly with respect to the parameter k. As k → ∞, the authors obtain the damped von Kármán model with associated energy exponentially decaying to zero as well.
publishDate 2010
dc.date.none.fl_str_mv 2010
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/491
url http://hdl.handle.net/20.500.11824/491
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-77954395725&doi=10.1007%2fs11424-010-0137-8&partnerID=40&md5=745ac3dbcff662d2e5ffceec7a369925
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412670966333440
score 15,300724

Similares en LA Referencia