1986 Articles
Generalized Kirchhoff Vortices
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.
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- Title
- Physics of Fluids
- DOI
- https://doi.org/10.1063/1.865530
More About This Work
- Academic Units
- Applied Physics and Applied Mathematics
- Lamont-Doherty Earth Observatory
- Ocean and Climate Physics
- Publisher
- AIP Publishing
- Published Here
- November 19, 2013