Jacques Verron
UMR 5519, CNRS, BP 53 38041, Grenoble
Laboratoire des Ecoulements, Geophysiques et Industriels, CNRS
Publications:
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Sokolovskiy M. A., Verron J.
Some properties of motion of $A+1$ vortices in a two-layer rotating fluid
2006, Vol. 2, No. 1, pp. 27-54
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 $A\geqslant2$, 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.
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