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Topological aspects of incompressible flows

2021Journal article Restricted access
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dc.contributor.authorBessa, Mário
dc.contributor.authorTorres, Maria Joana
dc.contributor.authorVarandas, Paulo
dc.date.accessioned2023-05-25T11:51:25Z
dc.date.available2023-05-25T11:51:25Z
dc.date.issued2021
dc.description.abstractIn this article we approach some of the basic questions in topological dynamics, concerning periodic points, transitivity, the shadowing and the gluing orbit properties, in the context of C0 incompressible flows generated by Lipschitz vector fields. We prove that a C0-generic incompressible and fixed-point free flow satisfies the periodic shadowing property, it is transitive and has a dense set of periodic points in the non- wandering set. In particular, a C0-generic fixed-point free incompressible flow satisfies the reparametrized gluing orbit property. We also prove that C0-generic incompressible flows satisfy the general density theorem and the weak shadowing property, moreover these are transitive.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, M. J. Torres, P. Varandas, Topological aspects of incompressible flows, 293, 392-417, 2021pt_PT
dc.identifier.doi10.1016/j.jde.2021.05.030pt_PT
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/10400.2/13845
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationCenter of Mathematics of the University of Minho
dc.relationCenter of Mathematics of the University of Minho
dc.relationCentre for Mathematics of the University of Porto
dc.relationNot Available
dc.subjectPeriodic pointspt_PT
dc.subjectTopological dynamicspt_PT
dc.subjectPeriodic shadowingpt_PT
dc.subjectClosing lemmapt_PT
dc.subjectGluing orbit propertypt_PT
dc.titleTopological aspects of incompressible flowspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics of the University of Minho
oaire.awardTitleCenter of Mathematics of the University of Minho
oaire.awardTitleCentre for Mathematics of the University of Porto
oaire.awardTitleNot Available
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00144%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/CEEC IND 2017/CEECIND%2F03721%2F2017%2FCP1395%2FCT0005/PT
oaire.citation.endPage417pt_PT
oaire.citation.startPage392pt_PT
oaire.citation.titleJournal of Differential Equationspt_PT
oaire.citation.volume293pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStreamCEEC IND 2017
person.familyNameBessa
person.familyNameda Costa Cruz de Oliveira Torres
person.familyNameRodrigues Pinto Varandas
person.givenNameMário
person.givenNameMaria Joana
person.givenNamePaulo César
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id4612-CB41-300A
person.identifier.ciencia-id0C1A-DC54-F959
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-3673-5776
person.identifier.orcid0000-0002-0902-8718
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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