Nonlinear Orbital Stability for Planar Vortex Patches
Analysis of PDEs
2018-03-06 v1
Abstract
In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method.
Cite
@article{arxiv.1803.01453,
title = {Nonlinear Orbital Stability for Planar Vortex Patches},
author = {Daomin Cao and Guodong Wang and Jie Wan},
journal= {arXiv preprint arXiv:1803.01453},
year = {2018}
}
Comments
10 pages