Euler-Poincare formulation and elliptic instability for nth-gradient fluids

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dc.creatorFabijonas, Bruce R.
dc.creatorHolm, Darryl D.
dc.date2004-05-21
dc.date.accessioned2026-07-07T05:35:34Z
dc.date.available2026-07-07T05:35:34Z
dc.descriptionThe energy of an $n^{th}-$gradient fluid depends on its Eulerian velocity gradients of order $n$. A variational principle is introduced for the dynamics of $n^{th}-$gradient fluids and their properties are reviewed in the context of Noether's theorem. The stability properties of Craik-Criminale solutions for first and second gradient fluids are examined.
dc.description17 pages, 5 figures (low quality), each in several parts
dc.identifierhttps://arxiv.org/abs/nlin/0405051
dc.identifierhttp://arxiv.org/abs/nlin/0405051
dc.identifierJ. Phys. A 37 (2004) 7609-7623
dc.identifierdoi:10.1088/0305-4470/37/30/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80739
dc.subjectChaotic Dynamics
dc.titleEuler-Poincare formulation and elliptic instability for nth-gradient fluids
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