Existence of vortex rings in Beltrami flows
Analysis of PDEs
2020-08-24 v1
Abstract
We construct traveling wave solutions to the 3d Euler equations by axisymmetric Beltrami fields with a non-constant proportionality factor. They form a vortex ring with nested invariant tori consisting of level sets of the proportionality factor.
Cite
@article{arxiv.2008.09345,
title = {Existence of vortex rings in Beltrami flows},
author = {Ken Abe},
journal= {arXiv preprint arXiv:2008.09345},
year = {2020}
}
Comments
30 pages