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dc.creatorBriane, Marces
dc.creatorCasado Díaz, Juanes
dc.date.accessioned2016-09-28T09:29:38Z
dc.date.available2016-09-28T09:29:38Z
dc.date.issued2012-09
dc.identifier.citationBriane, M. y Casado Díaz, J. (2012). Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations. Archive for Rational Mechanics and Analysis, 205 (3), 753-794.
dc.identifier.issn0003-9527es
dc.identifier.issn1432-0673es
dc.identifier.urihttp://hdl.handle.net/11441/46225
dc.description.abstractThe paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in L1, we prove that the limit of a sequence of plate equations remains a plate equation which involves a strongly local linear operator acting on the second gradients. This compactness result is based on a div-curl lemma for fourthorder equations. On the other hand, using an intermediate stream function we deduce from the plates case a similar result for high-viscosity Stokes equations in dimension two, so that the nature of the Stokes equation is preserved in the homogenization process. Finally, we show that the L1-boundedness assumption cannot be relaxed. Indeed, in the case of the Stokes equation the concentration of one very rigid strip on a line induces the appearance of second gradient terms in the limit problem, which violates the compactness result obtained under the L1-boundedness condition.es
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofArchive for Rational Mechanics and Analysis, 205 (3), 753-794.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectHomogenizationes
dc.subjectPlatees
dc.subjectStokes equationes
dc.subjectDiv-curl lemmaes
dc.titleHomogenization of stiff plates and two-dimensional high-viscosity Stokes equationses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2011-24457es
dc.relation.publisherversionhttp://download.springer.com/static/pdf/356/art%253A10.1007%252Fs00205-012-0520-9.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00205-012-0520-9&token2=exp=1475055790~acl=%2Fstatic%2Fpdf%2F356%2Fart%25253A10.1007%25252Fs00205-012-0520-9.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00205-012-0520-9*~hmac=a11ab599cbbbf3e0fa4c82b178430a9d180bfedf79668893c05e60db7d8a74abes
dc.identifier.doi10.1007/s00205-012-0520-9es
dc.contributor.groupUniversidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parcialeses
idus.format.extent36 p.es
dc.journaltitleArchive for Rational Mechanics and Analysises
dc.publication.volumen205es
dc.publication.issue3es
dc.publication.initialPage753es
dc.publication.endPage794es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/46225
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). España

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