Filamentation near Hill's vortex
Analysis of PDEs
2022-02-07 v2 Mathematical Physics
math.MP
Abstract
For the axisymmetric incompressible Euler equations, we prove linear in time filamentation near Hill's vortex: there exists an arbitrary small outward perturbation growing linearly for all times. This is based on combining the recent nonlinear orbital stability obtained in [13] with a dynamical bootstrapping scheme for particle trajectories. These results rigorously confirm numerical simulations by Pozrikidis [45] in 1986.
Keywords
Cite
@article{arxiv.2107.06035,
title = {Filamentation near Hill's vortex},
author = {Kyudong Choi and In-Jee Jeong},
journal= {arXiv preprint arXiv:2107.06035},
year = {2022}
}
Comments
32 pages, 1 figure, minor corrections