On the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity

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dc.creatorGallagher, Isabelle
dc.creatorGallay, Thierry
dc.creatorLions, Pierre-Louis
dc.date2004-10-15
dc.date.accessioned2026-07-07T05:13:17Z
dc.date.available2026-07-07T05:13:17Z
dc.descriptionWe 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 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.
dc.description9 pages, no figure
dc.identifierhttps://arxiv.org/abs/math/0410344
dc.identifierhttp://arxiv.org/abs/math/0410344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72892
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q30, 35A07, 76D05, 76D17
dc.titleOn the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity
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