Existence of steady symmetric vortex patch in a disk
Analysis of PDEs
2019-09-04 v2
Abstract
In this paper we construct a family of steady symmetric vortex patches for the incompressible Euler equations in an open disk. The result is obtained by studying a variational problem in which the kinetic energy of the fluid is maximized subject to some appropriate constraints for the vorticity. Moreover, we show that these vortex patches shrink to a given minimum point of the corresponding Kirchhoff-Routh function as the vorticity strength parameter goes to infinity.
Cite
@article{arxiv.1807.02993,
title = {Existence of steady symmetric vortex patch in a disk},
author = {Daomin Cao and Guodong Wang and Bijun Zuo},
journal= {arXiv preprint arXiv:1807.02993},
year = {2019}
}
Comments
15 pages