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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2006, Volume 2, Number 1, Pages 27–54
(Mi nd153)
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This article is cited in 3 scientific papers (total in 3 papers)
Some properties of motion of $A+1$ vortices in a two-layer rotating fluid
M. A. Sokolovskiya, J. Verron a Water Problems Institute of the Russian Academy of Sciences, Moscow
Abstract:
The paper explores the properties of motion of $A+1$ point vortices with $A$ planes of symmetry immersed into a two-layer fluid. The central vortex is supposed to be in the upper layer while the other $A$ vortices have equal intensity and form a regular $A$-gon configuration in the lower layer. For $A\ge 2$, we study possible stationary motions. For $A=2$, using methods of qualitative analysis, we classify the motions of this vortical structure and obtain preliminary numerical results concerned with stability of symmetrical configurations.
Keywords:
two-layer fluid, point vortex, vortex structures, choreography, phase portrait.
Citation:
M. A. Sokolovskiy, J. Verron, “Some properties of motion of $A+1$ vortices in a two-layer rotating fluid”, Nelin. Dinam., 2:1 (2006), 27–54
Linking options:
https://www.mathnet.ru/eng/nd153 https://www.mathnet.ru/eng/nd/v2/i1/p27
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