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Duality, vector advection and the Navier-Stokes equations

Research group:
Stochastic Analysis
TitleDuality, vector advection and the Navier-Stokes equations
Publication TypeJournal Article
Year of Publication2009
AuthorsBrzezniak Z, Neklyudov M
Refereed DesignationRefereed
JournalDynamics of Partial Differential Equations
Volume6
Start Page53
Issue1
Pagination53-93
Date Published03/2009
AbstractIn 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.
URLhttp://intlpress.com/DPDE/journal/vol6/6-1/DPDE-6-1-A4-brzezniak.pdf

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Edited 16 Jun 2011 - 12:18 by cac7

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