Academic Commons

Articles

Generalized Kirchhoff Vortices

Polvani, Lorenzo M.; Flierl, G. R.

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.

Subjects

Files

Also Published In

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