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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampPlanas, Gabriela Del Valle-
dc.typeArtigopt_BR
dc.titleLimits of the Stokes and Navier-Stokes equations in a punctured periodic domainpt_BR
dc.contributor.authorChipot, M.-
dc.contributor.authorDroniou, J.-
dc.contributor.authorPlanas, G.-
dc.contributor.authorRobinson, J.C.-
dc.contributor.authorXue, W.-
dc.subjectEquações de Navier-Stokespt_BR
dc.subject.otherlanguageNavier-Stokes equationspt_BR
dc.description.abstractWe treat three problems on a two-dimensional "punctured periodic domain": we take ωr = (-L,L)2rK, where r > 0 and K is the closure of an open connected set that is star-shaped with respect to 0 and has a C1 boundary. We impose periodic boundary conditions on the boundary of ω = (-L,L)2, and Dirichlet boundary conditions on (rK). In this setting we consider the Poisson equation, the Stokes equations, and the time-dependent Navier-Stokes equations, all with a fixed forcing function f, and examine the behavior of solutions as r → 0. In all three cases we show convergence of the solutions to those of the limiting problem, i.e. the problem posed on all of ω with periodic boundary conditionspt_BR
dc.relation.ispartofAnalysis and Applicationspt_BR
dc.relation.ispartofabbreviationAApt_BR
dc.publisher.citySingaporept_BR
dc.publisher.countrySingapurapt_BR
dc.publisherWorld Scientificpt_BR
dc.date.issued2020-
dc.language.isoengpt_BR
dc.description.volume18pt_BR
dc.description.issuenumber2pt_BR
dc.description.firstpage211pt_BR
dc.description.lastpage235pt_BR
dc.rightsFechadopt_BR
dc.sourceSCOPUSpt_BR
dc.identifier.issn0219-5305pt_BR
dc.identifier.eissn1793-6861pt_BR
dc.identifier.doi10.1142/S0219530519500118pt_BR
dc.identifier.urlhttps://www.worldscientific.com/doi/10.1142/S0219530519500118pt_BR
dc.date.available2020-06-07T20:13:28Z-
dc.date.accessioned2020-06-07T20:13:28Z-
dc.description.provenanceSubmitted by Cintia Oliveira de Moura (cintiaom@unicamp.br) on 2020-06-07T20:13:28Z No. of bitstreams: 0. Added 1 bitstream(s) on 2020-09-03T11:55:56Z : No. of bitstreams: 1 2-s2.0-85069932689.pdf: 643140 bytes, checksum: a93063e7f4156eaa8e03db6139cbfd70 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-06-07T20:13:28Z (GMT). No. of bitstreams: 0 Previous issue date: 2020en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/342859-
dc.contributor.departmentDepartamento de Matemáticapt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.identifier.source2-s2.0-85069932689pt_BR
dc.creator.orcid0000-0002-0647-4122pt_BR
dc.type.formArtigopt_BR
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