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| Titel |
A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations |
| VerfasserIn |
L. Marié |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 17, no. 1 ; Nr. 17, no. 1 (2010-02-02), S.49-63 |
| Datensatznummer |
250013636
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| Publikation (Nr.) |
 copernicus.org/npg-17-49-2010.pdf |
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| Zusammenfassung |
| 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. |
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