Some properties of motion of $A+1$ vortices in a two-layer rotating fluid
2006, Vol. 2, No. 1, pp. 27-54
Author(s): Sokolovskiy M. A., Verron J.
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.
PDF, 3.14 Mb
This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License