On rotating doubly connected vortices
Analysis of PDEs
2013-10-02 v1
Abstract
In this paper we consider rotating doubly connected vortex patches for the Euler equations in the plane. When the inner interface is an ellipse we show that the exterior interface must be a confocal ellipse. We then discuss some relations, first found by Flierl and Polvani, between the parameters of the ellipses, the velocity of rotation and the magnitude of the vorticity in the domain enclosed by the inner ellipse.
Keywords
Cite
@article{arxiv.1310.0335,
title = {On rotating doubly connected vortices},
author = {Taoufik Hmidi and Joan Mateu and Joan Verdera},
journal= {arXiv preprint arXiv:1310.0335},
year = {2013}
}
Comments
30 pages