Ben Jelloul, M. and Zeitlin, V. (1999) Remarks on stability of the rotating shallow water vortices in the frontal dynamics regime. Il nuovo cimento C, 22 C (6). pp. 931-942. ISSN 1826-9885
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Abstract
Stability properties of large-scale strongly nonlinear isolated vortices in the rotating shallow water on the f-plane are analysed. Working first in the framework of the balanced frontal dynamics equations we demonstrate that vortices of arbitrary sign with monotonous profiles of the free-surface elevation are formally stable and establish criteria for nonlinear stability. We then discuss stability in the framework of the full rotating shallow-water equations and obtain a conditional stability criterion.
| Item Type: | Article |
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| Additional Information: | Paper presented at the International Workshop on “Vortex Dynamics in Geophysical Flows”, Castro Marina (LE), Italy, 22-26 June 1998. |
| Uncontrolled Keywords: | Physics of the oceans; Hydrodynamics stability; Coriolis effects; Conference proceedings |
| Subjects: | 500 Scienze naturali e Matematica > 550 Scienze della Terra > 551 Geologia, Idrologia, Meteorologia |
| Depositing User: | Marina Spanti |
| Date Deposited: | 11 Oct 2019 15:10 |
| Last Modified: | 11 Oct 2019 15:10 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/13687 |
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