Nonlinear Stability of Planar Vortex Patches in an ideal fluid
Analysis of PDEs
2019-06-18 v2
Abstract
In this paper, we prove nonlinear stability of planar vortex patches concentrated near an isolated minimum point of the Robin function in a general bounded domain. These vortex patches are stationary solutions of the two-dimensinal incompressible Euler equations. The result is obtained by showing that these concentrated vortex patches are in fact isolated maximizers of the kinetic energy among isovortical patches.
Keywords
Cite
@article{arxiv.1706.10070,
title = {Nonlinear Stability of Planar Vortex Patches in an ideal fluid},
author = {Daomin Cao and Guodong Wang},
journal= {arXiv preprint arXiv:1706.10070},
year = {2019}
}
Comments
19 pages