Exact controllability of the vortex system by means of a single vortex
Optimization and Control
2022-09-15 v1
Abstract
In this paper, we investigate the controllability of the point vortex system by means of a single vortex. The point vortex system is a well-known simplied model for the incompressible Euler equation, where the vorticity is concentrated in a nite number of Dirac masses. We use one of the vortices as a control, and prove that by suitably choosing its trajectory, we can drive all other vortices to a given prescribed position in arbitrary time.
Keywords
Cite
@article{arxiv.2209.06483,
title = {Exact controllability of the vortex system by means of a single vortex},
author = {Justine Dorsz and Olivier Glass},
journal= {arXiv preprint arXiv:2209.06483},
year = {2022}
}