On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations
Analysis of PDEs
2021-03-11 v2 Mathematical Physics
math.MP
Abstract
We consider vortex patch solutions of the incompressible Euler equations in the plane. It is shown that the winding number around the origin for most particles in the patch grows linearly in time when the initial patch is close to a disk enough.
Cite
@article{arxiv.2008.05085,
title = {On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations},
author = {Kyudong Choi and In-Jee Jeong},
journal= {arXiv preprint arXiv:2008.05085},
year = {2021}
}
Comments
11 pages, the condition for the origin to be fixed was removed