Spectral analysis and limit behaviours in a spring-mass system

We consider a model for a damped spring-mass system that is a strongly damped wave equation with dynamic boundary conditions. In a previous paper we showed that for some values of the parameters of the model, the large time behaviour of the solutions is the same as for a classical spring-mass damper...

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Autores: Pellicer Sabadí, Marta, Solà-Morales i Rubió, Joan de
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/8981
Acesso em linha:http://hdl.handle.net/10256/8981
Access Level:acceso abierto
Palavra-chave:Anàlisi espectral
Spectrum analysis
Equacions d'ona
Wave equation
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spelling Spectral analysis and limit behaviours in a spring-mass systemPellicer Sabadí, MartaSolà-Morales i Rubió, Joan deAnàlisi espectralSpectrum analysisEquacions d'onaWave equationWe consider a model for a damped spring-mass system that is a strongly damped wave equation with dynamic boundary conditions. In a previous paper we showed that for some values of the parameters of the model, the large time behaviour of the solutions is the same as for a classical spring-mass damper ODE. Here we use spectral analysis to show that for other values of the parameters, still of physical relevance and related to the effect of the spring inner viscosity, the limit behaviours are very different from that classical ODEAmerican Institute of Mathematical Sciences (AIMS)2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10256/8981http://hdl.handle.net/10256/8981© Communications on Pure and Applied Analysis, 2008, vol. 7, núm. 3, p. 563- 577Articles publicats (D-IMA)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.3934/cpaa.2008.7.563info:eu-repo/semantics/altIdentifier/issn/1534-0392info:eu-repo/semantics/altIdentifier/eissn/1553-5258Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/89812026-05-29T05:05:01Z
dc.title.none.fl_str_mv Spectral analysis and limit behaviours in a spring-mass system
title Spectral analysis and limit behaviours in a spring-mass system
spellingShingle Spectral analysis and limit behaviours in a spring-mass system
Pellicer Sabadí, Marta
Anàlisi espectral
Spectrum analysis
Equacions d'ona
Wave equation
title_short Spectral analysis and limit behaviours in a spring-mass system
title_full Spectral analysis and limit behaviours in a spring-mass system
title_fullStr Spectral analysis and limit behaviours in a spring-mass system
title_full_unstemmed Spectral analysis and limit behaviours in a spring-mass system
title_sort Spectral analysis and limit behaviours in a spring-mass system
dc.creator.none.fl_str_mv Pellicer Sabadí, Marta
Solà-Morales i Rubió, Joan de
author Pellicer Sabadí, Marta
author_facet Pellicer Sabadí, Marta
Solà-Morales i Rubió, Joan de
author_role author
author2 Solà-Morales i Rubió, Joan de
author2_role author
dc.subject.none.fl_str_mv Anàlisi espectral
Spectrum analysis
Equacions d'ona
Wave equation
topic Anàlisi espectral
Spectrum analysis
Equacions d'ona
Wave equation
description We consider a model for a damped spring-mass system that is a strongly damped wave equation with dynamic boundary conditions. In a previous paper we showed that for some values of the parameters of the model, the large time behaviour of the solutions is the same as for a classical spring-mass damper ODE. Here we use spectral analysis to show that for other values of the parameters, still of physical relevance and related to the effect of the spring inner viscosity, the limit behaviours are very different from that classical ODE
publishDate 2008
dc.date.none.fl_str_mv 2008
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/10256/8981
http://hdl.handle.net/10256/8981
url http://hdl.handle.net/10256/8981
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3934/cpaa.2008.7.563
info:eu-repo/semantics/altIdentifier/issn/1534-0392
info:eu-repo/semantics/altIdentifier/eissn/1553-5258
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv © Communications on Pure and Applied Analysis, 2008, vol. 7, núm. 3, p. 563- 577
Articles publicats (D-IMA)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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