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dc.contributor.authorGallagher, Isabelle
HAL ID: 171744
dc.contributor.authorGallay, Thierry
dc.contributor.authorLions, Pierre-Louis
dc.date.accessioned2011-05-04T11:54:00Z
dc.date.available2011-05-04T11:54:00Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6169
dc.language.isoenen
dc.subjectNavier–Stokes equationsen
dc.subjectvorticityen
dc.subjectuniquenessen
dc.subjectself-similar variablesen
dc.subjectentropy estimatesen
dc.subjectsymmetric nonincreasing rearrangementsen
dc.subject.ddc515en
dc.titleOn the uniqueness of the solution of the two-dimensional Navier–Stokes equation with a Dirac mass as initial vorticityen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe propose two different proofs of the fact that Oseen's vortex is the unique solution of the two-dimensional Navier–Stokes equation with a Dirac mass as initial vorticity. The first argument, due to C. E. Wayne and the second named author, is based on an entropy estimate for the vorticity equation in self-similar variables. The second proof is new and relies on symmetrization techniques for parabolic equations.en
dc.relation.isversionofjnlnameMathematische Nachrichten
dc.relation.isversionofjnlvol278en
dc.relation.isversionofjnlissue14en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages1665–1672en
dc.relation.isversionofdoihttp://dx.doi.org/10.1002/mana.200410331en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWileyen
dc.subject.ddclabelAnalyseen


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