Generalized Kirchhoff vortices
- 1 August 1986
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 29 (8) , 2376-2379
- https://doi.org/10.1063/1.865530
Abstract
A family of exact solutions of the Euler equations is presented: they are generalizations of the Kirchhoff vortex to N confocal ellipses. Special attention is given to the case N=2, for which the stability is analyzed with a method similar to the one used by Love [Proc. London Math. Soc. 1, XXV 18 (1893)] for the Kirchhoff vortex. The results are compared with those for the corresponding circular problem.Keywords
This publication has 1 reference indexed in Scilit:
- On the Stability of certain Vortex MotionsProceedings of the London Mathematical Society, 1893