Variational Principles of Lagrangian Averaged Fluid Dynamics

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dc.creatorHolm, Darryl D.
dc.date2001-03-26
dc.date.accessioned2026-07-07T05:33:23Z
dc.date.available2026-07-07T05:33:23Z
dc.descriptionThe Lagrangian average (LA) of the ideal fluid equations preserves their fundamental transport structure. This transport structure is responsible for the Kelvin circulation theorem of the LA flow and, hence, for its potential vorticity convection and its helicity conservation. Lagrangian averaging also preserves the Euler-Poincaré (EP) variational framework that implies the LA fluid equations. This is expressed in the Lagrangian-averaged Euler-Poincaré (LAEP) theorem proven here and illustrated for the Lagrangian average Euler (LAE) equations.
dc.description4 pages, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0103048
dc.identifierhttp://arxiv.org/abs/nlin/0103048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79977
dc.subjectChaotic Dynamics
dc.titleVariational Principles of Lagrangian Averaged Fluid Dynamics
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