Existence of corotating asymmetric vortex pairs for Euler equations
Analysis of PDEs
2020-04-07 v1
Abstract
In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs of simply connected patches for Euler equations. In particular, we prove the existence of curves of steadily co-rotating and counter-rotating asymmetric vortex pairs passing through a point vortex pairs with unequal circulations.
Keywords
Cite
@article{arxiv.2004.02306,
title = {Existence of corotating asymmetric vortex pairs for Euler equations},
author = {Zineb Hassainia and Taoufik Hmidi},
journal= {arXiv preprint arXiv:2004.02306},
year = {2020}
}
Comments
29 pages