Stability of the relative equilibrium of three vortex charges with zero total intensity

The relative motion of three vortex charges with zero total intensity in a rotating baroclinic fluid is considered in the quasi-geostrophic approximation. The geometry and the linear stability of the relative equilibrium positions of the charges are analyzed. The motion parameter values are classifi...

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Veröffentlicht in:Fluid dynamics 2012-07, Vol.47 (4), p.465-475
Hauptverfasser: Gudimenko, A. I., Zakharenko, A. D.
Format: Artikel
Sprache:eng
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Zusammenfassung:The relative motion of three vortex charges with zero total intensity in a rotating baroclinic fluid is considered in the quasi-geostrophic approximation. The geometry and the linear stability of the relative equilibrium positions of the charges are analyzed. The motion parameter values are classified with respect to the number, type, and stability of equilibrium positions.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462812040059