A note on the full non-linear stability of inviscid, planar flows with constant relative vorticity

Crisciani, Fulvio and Badin, G. (2007) A note on the full non-linear stability of inviscid, planar flows with constant relative vorticity. Il nuovo cimento C, 30 (4). pp. 337-345. ISSN 1826-9885

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Abstract

The non-linear stability of inviscid, planar flows with constant relative vorticity is proved in the context of the quasi-geostrophic shallow-water theory, for simply connected fluid domains of arbitrary shape. First, the result is obtained relative to the enstrophy and kinetic energy norms and, then, it is extended to a “generalised energy” norm which is expressed through the former.

Item Type: Article
Uncontrolled Keywords: Nonlinearity, bifurcation, and symmetry breaking ; Inviscid flows with vorticity
Subjects: 500 Scienze naturali e Matematica > 550 Scienze della Terra > 551 Geologia, Idrologia, Meteorologia
Depositing User: Marina Spanti
Date Deposited: 20 Mar 2020 16:52
Last Modified: 20 Mar 2020 16:52
URI: http://eprints.bice.rm.cnr.it/id/eprint/16262

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