Interaction between Kirchhoff vortices and point vortices in an ideal fluid

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We consider the interaction of two vortex patches (elliptic Kirchhoff vortices) which move in an unbounded volume of an ideal incompressible fluid. A moment second-order model is used to describe the interaction. The case of integrability of a Kirchhoff vortex and a point vortex by the variable separation method is qualitatively analyzed. A new case of integrability of two Kirchhoff vortices is found. A reduced form of equations for two Kirchhoff vortices is proposed and used to analyze their regular and chaotic behavior.
27 pages, 7 figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/95439

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0510006
 http://arxiv.org/abs/nlin/0510006

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arXiv