Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8714
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dc.contributor.authorFoias, Ciprian-
dc.contributor.authorRosa, Ricardo Martins da Silva-
dc.contributor.authorTemam, Roger-
dc.date.accessioned2019-07-08T18:58:46Z-
dc.date.available2011-03-30-
dc.date.available2019-07-08T18:58:46Z-
dc.date.issued2010-03-30-
dc.identifier.issn1078-0947pt_BR
dc.identifier.urihttp://hdl.handle.net/11422/8714-
dc.description.abstractThe three-dimensional incompressible Navier-Stokes equations are considered along with its weak global attractor, which is the smallest weakly compact set which attracts all bounded sets in the weak topology of the phase space of the system (the space of square-integrable vector fields with divergence zero and appropriate periodic or no-slip boundary conditions). A number of topological properties are obtained for certain regular parts of the weak global attractor. Essentially two regular parts are considered, namely one made of points such that all weak solutions passing through it at a given initial time are strong solutions on a neighborhood of that initial time, and one made of points such that at least one weak solution passing through it at a given initial time is a strong solution on a neighborhood of that initial time. Similar topological results are obtained for the family of all trajectories in the weak global attractor.en
dc.languageengpt_BR
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.relation.ispartofDiscrete and Continuous Dynamical Systems - Series Aen
dc.rightsAcesso Abertopt_BR
dc.subjectNavier-Stokes equationen
dc.subjectVector Fieldsen
dc.subjectWeak global attractoren
dc.titleTopological properties of the weak global attractor of the three-dimensional Navier-Stokes equationsen
dc.typeArtigopt_BR
dc.identifier.doi10.3934/dcds.2010.27.1611pt_BR
dc.description.resumoIndisponível.pt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentNúcleo Interdisciplinar de Dinâmica dos Fluidospt_BR
dc.subject.cnpqCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSpt_BR
dc.citation.volume27pt_BR
dc.citation.issue4pt_BR
dc.citation.spage1611pt_BR
dc.citation.epage1631pt_BR
dc.embargo.terms365 diaspt_BR
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