Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows

dc.creatorLopes, MC
dc.creatorMazzucato, AL
dc.creatorLopes, HJN
dc.creatorTaylor, M
dc.date2008
dc.dateDEC
dc.date2014-11-20T04:49:49Z
dc.date2015-11-26T16:05:56Z
dc.date2014-11-20T04:49:49Z
dc.date2015-11-26T16:05:56Z
dc.date.accessioned2018-03-28T22:54:54Z
dc.date.available2018-03-28T22:54:54Z
dc.identifierBulletin Of The Brazilian Mathematical Society. Springer, v. 39, n. 4, n. 471, n. 513, 2008.
dc.identifier1678-7544
dc.identifierWOS:000261619300001
dc.identifier10.1007/s00574-008-0001-9
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/73170
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/73170
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/73170
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1265828
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [10] on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary, shown there to converge to the inviscid limit in L(2)-norm as long as the prescribed angular velocity alpha(t) of the boundary has bounded total variation. Here we establish convergence in stronger L(2) and L(p)-Sobolev spaces, allow for more singular angular velocities a, and address the issue of analyzing the behavior of the boundary layer. This includes an analysis of concentration of vorticity in the vanishing viscosity limit. We also consider such flows on an annulus, whose two boundary components rotate independently.
dc.description39
dc.description4
dc.description471
dc.description513
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionNSF [DMS-0405803, DMS-0456861]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCNPq [302.102/2004-3, 302.214/2004-6]
dc.descriptionNSF [DMS-0405803, DMS-0456861]
dc.languageen
dc.publisherSpringer
dc.publisherNew York
dc.publisherEUA
dc.relationBulletin Of The Brazilian Mathematical Society
dc.relationBull. Braz. Math. Soc.
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectNavier-Stokes
dc.subjectboundary layer
dc.subjectvorticity
dc.subjectIncompressible-flow
dc.subjectEquations
dc.titleVanishing viscosity limits and boundary layers for circularly symmetric 2D flows
dc.typeArtículos de revistas


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