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A Study of the Phase Instability of Quasi-geostrophic Rossby Waves on the Infinite Β-plane to Zonal Flow Perturbations : Volume 17, Issue 1 (02/02/2010)

By Marié, L.

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Book Id: WPLBN0003973942
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Reproduction Date: 2015

Title: A Study of the Phase Instability of Quasi-geostrophic Rossby Waves on the Infinite Β-plane to Zonal Flow Perturbations : Volume 17, Issue 1 (02/02/2010)  
Author: Marié, L.
Volume: Vol. 17, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Marié, L. (2010). A Study of the Phase Instability of Quasi-geostrophic Rossby Waves on the Infinite Β-plane to Zonal Flow Perturbations : Volume 17, Issue 1 (02/02/2010). Retrieved from

Description: Laboratoire de Physique des Océans, UMR6523 CNRS/IFREMER/IRD/UBO, IFREMER/Centre de Brest, 29280 Plouzané, France. The problem of the linear instability of quasi-geostrophic Rossby waves to zonal flow perturbations is investigated on an infinite β-plane using a phase dynamics formalism. Equations governing the coupled evolutions of a zonal velocity perturbation and phase and amplitude perturbations of a finite-amplitude wave are obtained. The analysis is valid in the limit of infinitesimal, zonally invariant perturbation components, varying slowly in the meridional direction and with respect to time. In the case of a slow sinusoidal meridional variation of the perturbation components, analytical expressions for the perturbation growth rates are obtained, which are checked against numerical codes based on standard Floquet theory.

A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations

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