Duality, Vector advection and the Navier-Stokes equations

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dc.creatorBrzezniak, Z.
dc.creatorNeklyudov, M.
dc.date2007-10-17
dc.date2008-11-20
dc.date.accessioned2026-07-07T10:19:17Z
dc.date.available2026-07-07T10:19:17Z
dc.descriptionIn this article we show that three dimensional vector advection equation is self dual in certain sense defined below. As a consequence, we infer classical result of Serrin of existence of strong solution of Navier-Stokes equation. Also we deduce Feynman-Kac type formula for solution of the vector advection equation and show that the formula is not unique i.e. there exist flows which differ from standard flow along which vorticity is conserved.
dc.description51 pages; Some minor mistakes are corrected
dc.identifierhttps://arxiv.org/abs/0710.3401
dc.identifierhttp://arxiv.org/abs/0710.3401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174454
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject35Q30, 60H30, 76D05
dc.titleDuality, Vector advection and the Navier-Stokes equations
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