Publication:
Attractor of the limit Navier–Stokes–Voigt system in R4

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dc.contributor.coauthorZelik, S. V.
dc.contributor.coauthorIlyin, A. A.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKalantarov, Varga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2026-08-14T11:20:24Z
dc.date.issued2026
dc.description.abstractThe Navier-Stokes-Voigt system on the entire four-dimensional space R-4 is considered. Although we do not know any physical reason to consider this system in the four-dimensional space, the attractors theory for this case becomes especially simple and elegant and nothing similar happens when the space dimension is not four. In the present note, we develop this theory, including well-posedness, dissipativity, existence of a global attractor, and estimates for its dimension.
dc.description.harvestedfromManual
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorship075-15-2025-346
dc.description.versionPublished Version
dc.identifier.ScopusPercentile36
dc.identifier.ScopusQuartileQ3
dc.identifier.WoSPercentile36,5
dc.identifier.WoSQuartileQ3
dc.identifier.doi10.1134/s0001434626600432
dc.identifier.eissn1573-8876
dc.identifier.embargoN/A
dc.identifier.endpage251
dc.identifier.issn0001-4346
dc.identifier.issue1-2
dc.identifier.scopus2-s2.0-105041348292
dc.identifier.startpage246
dc.identifier.urihttp://doi.org/10.1134/s0001434626600432
dc.identifier.urihttps://hdl.handle.net/20.500.14288/34311
dc.identifier.volume119
dc.identifier.wos001789431900009
dc.keywordsNavier–Stokes system
dc.keywordsVoigt regularization
dc.keywordsAttractor
dc.keywordsFractal dimension
dc.keywordsOrthonormal system
dc.languageeng
dc.publisherThe paper was published with the financial support of the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2025-346 with the Ministry of Education and Science of the Russian Federation.
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofMathematical Notes
dc.relation.openaccessN/A
dc.rightsN/A
dc.rights.uriN/A
dc.subjectMathematics
dc.subjectApplied mathematics
dc.subjectMathematical physics
dc.titleAttractor of the limit Navier–Stokes–Voigt system in R4
dc.typeJournal Article
dspace.entity.typePublication
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