On the behavior of clamped plates under large compression

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAntunes, Pedro R. S.-
Autor(es): dc.creatorBuoso, D.-
Autor(es): dc.creatorFreitas, P.-
Data de aceite: dc.date.accessioned2020-09-24T17:29:55Z-
Data de disponibilização: dc.date.available2020-09-24T17:29:55Z-
Data de envio: dc.date.issued2020-05-11-
Data de envio: dc.date.issued2020-05-11-
Data de envio: dc.date.issued2019-09-02-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/9683-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/9683-
Descrição: dc.descriptionWe determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions. Using the method of fundamental solutions, we then carry out a numerical study of the extremal domains for the first eigenvalue, from which we see that these depend on the value of the compression, and start developing a boundary structure as this parameter is increased. The corresponding number of nodal domains of the first eigenfunction of the extremal domain also increases with the compression.-
Descrição: dc.descriptionThis work was partially supported by the Funda ̧c ̃ao para a Ciˆencia e a Tecnologia(Portugal) through the program “Investigador FCT” with reference IF/00177/2013 and the projectExtremal spectral quantities and related problems(PTDC/MAT-CAL/4334/2014).-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Idioma: dc.languageen-
Publicador: dc.publisherSociety for Industrial and Applied Mathematics-
Relação: dc.relationPTDC/MAT-CAL/4334/2014-
Relação: dc.relationhttps://epubs.siam.org/doi/abs/10.1137/19M1249606?af=R&mobileUi=0-
Direitos: dc.rightsopenAccess-
Palavras-chave: dc.subjectBiharmonic operator-
Palavras-chave: dc.subjectPplate with tension-
Palavras-chave: dc.subjectPlate with compression-
Palavras-chave: dc.subjectEeigenvalues-
Palavras-chave: dc.subjectAasymptotics-
Palavras-chave: dc.subjectEextremal domains-
Título: dc.titleOn the behavior of clamped plates under large compression-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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