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Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary

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dc.contributor.authorArrietay, J.M.
dc.contributor.authorVillanueva Pesquera, M.
dc.date.accessioned2023-06-18T06:56:34Z
dc.date.available2023-06-18T06:56:34Z
dc.date.issued2016
dc.description.abstractWe analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillations at the boundary. The oscillations are such that both the amplitude and period of the oscillations may vary in space. We obtain the homogenized limit problem and a corrector result by extending the unfolding operator method to the case of locally periodic media.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipGrupo de Investigación UCM CADEDIF
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/39275
dc.identifier.doi10.1137/15M101600X
dc.identifier.issn00361410
dc.identifier.officialurlhttp://epubs.siam.org/doi/pdf/10.1137/15M101600X
dc.identifier.urihttps://hdl.handle.net/20.500.14352/24636
dc.issue.number3
dc.journal.titleSIAM Journal on Mathematical Analysis
dc.language.isoeng
dc.page.final1671
dc.page.initial1634
dc.publisherSociety for Industrial and Applied Mathematics Publications
dc.relation.projectIDMTM2012-31298
dc.relation.projectIDAP2010-0786
dc.rights.accessRightsopen access
dc.subject.cdu51
dc.subject.keywordHomogenization
dc.subject.keywordLocally periodic
dc.subject.keywordOscillatory boundary
dc.subject.keywordThin domain
dc.subject.keywordUnfolding method
dc.subject.keywordVarying period.
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco12 Matemáticas
dc.titleUnfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
dc.typejournal article
dc.volume.number48
dspace.entity.typePublication

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