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Dynamics of heton-like vortices

V. M. Gryanik^ab, M. A. Sokolovskiy^cd, J. Verron<sup>e

a</sup> A. M. Oboukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow 109017 Russia
^b Alfred Wegener Institute for Polar and Marine Research, Postfach 12 0161, D-27515 Bremerhaven, Germany,
^c Water Problems Institute, Russian Academy of Sciences, 3 Gubkina str., Moscow 117735, Russia
^d Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16, S. Kovalevskaja str., Ekaterinburg 620219, Russia
^e Laboratoire des Ecoulements Géophysiques et Industriels, CNRS, BP 53 38041, Grenoble Cedex 9, France

Abstract: Studies of the properties of vortex motions in a stably stratified and fast rotating fluid that can be described by the equation for the evolution of a potential vortex in the quasi-geostrophic approximation are reviewed. Special attention is paid to the vortices with zero total intensity (the so-called hetons). The problems considered include self-motion of discrete hetons, the stability of a solitary distributed heton, and the interaction between two finite-core hetons. New solutions to the problems of three or more discrete vortices with a heton structure are proposed. The existence of chaotic regimes is revealed. The range of applications of the heton theory and the prospects for its future application, particularly in respect, to the analysis of the dynamic stage in the development of deep ocean convection, are discussed.

Keywords: heton, point vortex, finite-core vortex, two-layer fluid.

MSC: 76U05, 76B47, 76E20

Received: 24.08.2005
Accepted: 11.01.2006

Language: English

DOI: 10.1070/RD2006v011n03ABEH000361

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