Linear stability of a system of Gauss vortices

The stability problems are studied of the rigid body rotation of a regular polygonal system of pointwise and Gauss vortices. A stability criterion is obtained for a system of Gauss vortices which generalizes an available criterion for stability of the rigid body rotation of a system of pointwise vor...

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2007-06, Vol.1 (2), p.152-159
Main Authors: Bord, E G, Kranchev, D F
Format: Article
Language:English
Subjects:
Atmosphere
Criteria
Dispersions
Fluid flow
Mathematical analysis
Perturbation methods
Rigid-body dynamics
Stability
Tornadoes
Vortices
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Summary:The stability problems are studied of the rigid body rotation of a regular polygonal system of pointwise and Gauss vortices. A stability criterion is obtained for a system of Gauss vortices which generalizes an available criterion for stability of the rigid body rotation of a system of pointwise vortices. The influence of dispersion of the vorticity distribution on stability of rigid body rotation is studied. It is shown, that there is some finite value of dispersion whose achievement yields the stabilization of known unstable perturbations.[PUBLICATION ABSTRACT]
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478907020044