Interaction between Kirchhoff vortices and point vortices in an ideal fluid

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dc.creatorBorisov, Alexey V.
dc.creatorMamaev, Ivan S.
dc.date2005-10-04
dc.date.accessioned2026-07-07T06:20:53Z
dc.date.available2026-07-07T06:20:53Z
dc.descriptionWe 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.
dc.description27 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/nlin/0510006
dc.identifierhttp://arxiv.org/abs/nlin/0510006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95439
dc.subjectExactly Solvable and Integrable Systems
dc.titleInteraction between Kirchhoff vortices and point vortices in an ideal fluid
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