Finiteness of Stationary Configurations of the Planar Four-vortex Problem
Mathematical Physics
2021-03-30 v4 Algebraic Geometry
math.MP
Abstract
For the planar four-vortex problem, we show that there are finitely many stationary configurations consisting of equilibria, rigidly translating configurations, relative equilibria (uniformly rotating configurations) and collapse configurations. We also provide upper bounds for these classes of stationary configurations.
Keywords
Cite
@article{arxiv.2103.06037,
title = {Finiteness of Stationary Configurations of the Planar Four-vortex Problem},
author = {Xiang Yu},
journal= {arXiv preprint arXiv:2103.06037},
year = {2021}
}