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Article: A new boundary problem for the two dimensional navier-stokes system

TitleA new boundary problem for the two dimensional navier-stokes system
Authors
Dinaburg, EfimLi, DongSinai, Yakov G.
KeywordsNavier-Stokes equations
Issue Date2009
Citation
Journal of Statistical Physics, 2009, v. 135, n. 4, p. 737-750 How to Cite?
DOI: http://dx.doi.org/10.1007/s10955-009-9760-y
AbstractWe formulate a new boundary value problem for the 2D Navier-Stokes system on the unit square. Under some suitable assumptions on the initial velocity, we obtain quantitative decay estimates of the Fourier modes of both the vorticity and the velocity. It is found that in one direction the Fourier modes decay exponentially and along the other direction their decay is only power like. © 2009 Springer Science+Business Media, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/326779
ISSN
0022-4715
2023 Impact Factor: 1.3
2023 SCImago Journal Rankings: 0.798
ISI Accession Number ID
WOS:000267154800007

 

DC FieldValueLanguage
dc.contributor.authorDinaburg, Efim-
dc.contributor.authorLi, Dong-
dc.contributor.authorSinai, Yakov G.-
dc.date.accessioned2023-03-31T05:26:27Z-
dc.date.available2023-03-31T05:26:27Z-
dc.date.issued2009-
dc.identifier.citationJournal of Statistical Physics, 2009, v. 135, n. 4, p. 737-750-
dc.identifier.issn0022-4715-
dc.identifier.urihttp://hdl.handle.net/10722/326779-
dc.description.abstractWe formulate a new boundary value problem for the 2D Navier-Stokes system on the unit square. Under some suitable assumptions on the initial velocity, we obtain quantitative decay estimates of the Fourier modes of both the vorticity and the velocity. It is found that in one direction the Fourier modes decay exponentially and along the other direction their decay is only power like. © 2009 Springer Science+Business Media, LLC.-
dc.languageeng-
dc.relation.ispartofJournal of Statistical Physics-
dc.subjectNavier-Stokes equations-
dc.titleA new boundary problem for the two dimensional navier-stokes system-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10955-009-9760-y-
dc.identifier.scopuseid_2-s2.0-67650602101-
dc.identifier.volume135-
dc.identifier.issue4-
dc.identifier.spage737-
dc.identifier.epage750-
dc.identifier.isiWOS:000267154800007-

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