Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations

Detalhes bibliográficos
Autor(a) principal: Foias, Ciprian
Data de Publicação: 2010
Outros Autores: Rosa, Ricardo Martins da Silva, Temam, Roger
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8714
Resumo: Indisponível.
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spelling Foias, CiprianRosa, Ricardo Martins da SilvaTemam, Roger2019-07-08T18:58:46Z2023-11-30T03:03:34Z2010-03-301078-0947http://hdl.handle.net/11422/871410.3934/dcds.2010.27.1611Indisponível.The 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.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-08T18:58:46Z No. of bitstreams: 1 2010_FOIAS_DCDS_v27_p1611-1631-min.pdf: 305168 bytes, checksum: 9f04d630356142026f20025f768c19de (MD5)Made available in DSpace on 2019-07-08T18:58:46Z (GMT). No. of bitstreams: 1 2010_FOIAS_DCDS_v27_p1611-1631-min.pdf: 305168 bytes, checksum: 9f04d630356142026f20025f768c19de (MD5) Previous issue date: 2010-03-30engAmerican Institute of Mathematical SciencesBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosDiscrete and Continuous Dynamical Systems - Series ACNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSNavier-Stokes equationVector FieldsWeak global attractorTopological properties of the weak global attractor of the three-dimensional Navier-Stokes equationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article27416111631365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2010_FOIAS_DCDS_v27_p1611-1631-min.pdf2010_FOIAS_DCDS_v27_p1611-1631-min.pdfapplication/pdf305168http://pantheon.ufrj.br:80/bitstream/11422/8714/1/2010_FOIAS_DCDS_v27_p1611-1631-min.pdf9f04d630356142026f20025f768c19deMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8714/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/87142023-11-30 00:03:34.404oai:pantheon.ufrj.br:11422/8714TElDRU7Dh0EgTsODTy1FWENMVVNJVkEgREUgRElTVFJJQlVJw4fDg08KCkFvIGFzc2luYXIgZSBlbnRyZWdhciBlc3RhIGxpY2Vuw6dhLCB2b2PDqihzKSBvKHMpIGF1dG9yKGVzKSBvdSBwcm9wcmlldMOhcmlvKHMpIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBjb25jZWRlKG0pIGFvIFJlcG9zaXTDs3JpbyBQYW50aGVvbiBkYSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gZGUgSmFuZWlybyAoVUZSSikgbyBkaXJlaXRvIG7Do28gLSBleGNsdXNpdm8gZGUgcmVwcm9kdXppciwgY29udmVydGVyIChjb21vIGRlZmluaWRvIGFiYWl4byksIGUvb3UgZGlzdHJpYnVpciBvIGRvY3VtZW50byBlbnRyZWd1ZSAoaW5jbHVpbmRvIG8gcmVzdW1vKSBlbSB0b2RvIG8gbXVuZG8sIGVtIGZvcm1hdG8gZWxldHLDtG5pY28gZSBlbSBxdWFscXVlciBtZWlvLCBpbmNsdWluZG8sIG1hcyBuw6NvIGxpbWl0YWRvIGEgw6F1ZGlvIGUvb3UgdsOtZGVvLgoKVm9jw6ogY29uY29yZGEgcXVlIGEgVUZSSiBwb2RlLCBzZW0gYWx0ZXJhciBvIGNvbnRlw7pkbywgdHJhZHV6aXIgYSBhcHJlc2VudGHDp8OjbyBkZSBxdWFscXVlciBtZWlvIG91IGZvcm1hdG8gY29tIGEgZmluYWxpZGFkZSBkZSBwcmVzZXJ2YcOnw6NvLgoKVm9jw6ogdGFtYsOpbSBjb25jb3JkYSBxdWUgYSBVRlJKIHBvZGUgbWFudGVyIG1haXMgZGUgdW1hIGPDs3BpYSBkZXNzYSBzdWJtaXNzw6NvIHBhcmEgZmlucyBkZSBzZWd1cmFuw6dhLCBiYWNrLXVwIGUgcHJlc2VydmHDp8OjbyBkaWdpdGFsLgoKRGVjbGFyYSBxdWUgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgc2V1IHRyYWJhbGhvIG9yaWdpbmFsLCBlIHF1ZSB2b2PDqiB0ZW0gbyBkaXJlaXRvIGRlIGNvbmNlZGVyIG9zIGRpcmVpdG9zIGNvbnRpZG9zIG5lc3RhIGxpY2Vuw6dhLiBWb2PDqiB0YW1iw6ltIGRlY2xhcmEgcXVlIGEgc3VhIGFwcmVzZW50YcOnw6NvLCBjb20gbyBtZWxob3IgZGUgc2V1cyBjb25oZWNpbWVudG9zLCBuw6NvIGluZnJpbmdpIGRpcmVpdG9zIGF1dG9yYWlzIGRlIHRlcmNlaXJvcy4KClNlIG8gZG9jdW1lbnRvIGVudHJlZ3VlIGNvbnTDqW0gbWF0ZXJpYWwgZG8gcXVhbCB2b2PDqiBuw6NvIHRlbSBkaXJlaXRvcyBkZSBhdXRvciwgZGVjbGFyYSBxdWUgb2J0ZXZlIGEgcGVybWlzc8OjbyBpcnJlc3RyaXRhIGRvIGRldGVudG9yIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBlIGNvbmNlZGUgYSBVRlJKIG9zIGRpcmVpdG9zIHJlcXVlcmlkb3MgcG9yIGVzdGEgbGljZW7Dp2EsIGUgcXVlIGVzc2UgbWF0ZXJpYWwgZGUgcHJvcHJpZWRhZGUgZGUgdGVyY2Vpcm9zIGVzdMOhIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvIGUgcmVjb25oZWNpZG8gbm8gdGV4dG8gb3UgY29udGXDumRvIGRhIHN1Ym1pc3PDo28uCgpTZSBvIGRvY3VtZW50byBlbnRyZWd1ZSDDqSBiYXNlYWRvIGVtIHRyYWJhbGhvIHF1ZSBmb2ksIG91IHRlbSBzaWRvIHBhdHJvY2luYWRvIG91IGFwb2lhZG8gcG9yIHVtYSBhZ8OqbmNpYSBvdSBvdXRybyhzKSBvcmdhbmlzbW8ocykgcXVlIG7Do28gYSBVRlJKLCB2b2PDqiBkZWNsYXJhIHF1ZSBjdW1wcml1IHF1YWxxdWVyIGRpcmVpdG8gZGUgUkVWSVPDg08gb3UgZGUgb3V0cmFzIG9icmlnYcOnw7VlcyByZXF1ZXJpZGFzIHBvciBjb250cmF0byBvdSBhY29yZG8uCgpBIFVGUkogaXLDoSBpZGVudGlmaWNhciBjbGFyYW1lbnRlIG8ocykgc2V1KHMpIG5vbWUocykgY29tbyBhdXRvcihlcykgb3UgcHJvcHJpZXTDoXJpbyhzKSBkYSBzdWJtaXNzw6NvLCBlIG7Do28gZmFyw6EgcXVhbHF1ZXIgYWx0ZXJhw6fDo28sIHBhcmEgYWzDqW0gZGFzIHBlcm1pdGlkYXMgcG9yIGVzdGEgbGljZW7Dp2EsIG5vIGF0byBkZSBzdWJtaXNzw6NvLgo=Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:34Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
title Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
spellingShingle Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
Foias, Ciprian
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Navier-Stokes equation
Vector Fields
Weak global attractor
title_short Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
title_full Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
title_fullStr Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
title_full_unstemmed Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
title_sort Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
author Foias, Ciprian
author_facet Foias, Ciprian
Rosa, Ricardo Martins da Silva
Temam, Roger
author_role author
author2 Rosa, Ricardo Martins da Silva
Temam, Roger
author2_role author
author
dc.contributor.author.fl_str_mv Foias, Ciprian
Rosa, Ricardo Martins da Silva
Temam, Roger
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Navier-Stokes equation
Vector Fields
Weak global attractor
dc.subject.eng.fl_str_mv Navier-Stokes equation
Vector Fields
Weak global attractor
description Indisponível.
publishDate 2010
dc.date.issued.fl_str_mv 2010-03-30
dc.date.accessioned.fl_str_mv 2019-07-08T18:58:46Z
dc.date.available.fl_str_mv 2023-11-30T03:03:34Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/8714
dc.identifier.issn.pt_BR.fl_str_mv 1078-0947
dc.identifier.doi.pt_BR.fl_str_mv 10.3934/dcds.2010.27.1611
identifier_str_mv 1078-0947
10.3934/dcds.2010.27.1611
url http://hdl.handle.net/11422/8714
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Discrete and Continuous Dynamical Systems - Series A
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8714/1/2010_FOIAS_DCDS_v27_p1611-1631-min.pdf
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