Interaction between Kirchhoff vortices and point vortices in an ideal fluid
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0510006,
title = {Interaction between Kirchhoff vortices and point vortices in an ideal fluid},
author = {Alexey V. Borisov and Ivan S. Mamaev},
journal= {arXiv preprint arXiv:nlin/0510006},
year = {2007}
}
Comments
27 pages, 7 figures