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A transmission problem for Euler-Bernoulli beam with Kelvin-Voigt damping

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dc.contributor.authorRaposo, C. A.
dc.contributor.authorBastos, W. D. [UNESP]
dc.contributor.authorAvila, J. A.J.
dc.contributor.institutionUniversidade Federal de Sergipe (UFS)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T18:57:22Z
dc.date.available2022-04-28T18:57:22Z
dc.date.issued2011-01-01
dc.description.abstractIn this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We use semigroup theory to prove existence and uniqueness of solutions. We apply a general results due to L. Gearhart [5] and J. Pruss [10] in the study of asymptotic behavior of solutions and prove that the semigroup associated to the system is exponentially stable. A numerical scheme is presented. © 2011 NSP.en
dc.description.affiliationDepartament of Mathematics Federal University of S. J. del-Rei - UFSJ, MG
dc.description.affiliationDepartament of Mathematics Sao Paulo State University UNESP, SP
dc.description.affiliationUnespDepartament of Mathematics Sao Paulo State University UNESP, SP
dc.format.extent17-28
dc.identifier.citationApplied Mathematics and Information Sciences, v. 5, n. 1, p. 17-28, 2011.
dc.identifier.issn1935-0090
dc.identifier.scopus2-s2.0-84857126389
dc.identifier.urihttp://hdl.handle.net/11449/219769
dc.language.isoeng
dc.relation.ispartofApplied Mathematics and Information Sciences
dc.sourceScopus
dc.subjectEuler-Bernoulli beam
dc.subjectExponencial stability
dc.subjectKelvin-Voigt damping
dc.subjectNumerical scheme
dc.subjectSemigroup
dc.subjectTransmission problem
dc.titleA transmission problem for Euler-Bernoulli beam with Kelvin-Voigt dampingen
dc.typeArtigo
dspace.entity.typePublication

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