Long time confinement of multiple concentrated vortices
Analysis of PDEs
2026-04-09 v3
Abstract
We study the stability of multiple almost circular concentrated vortices in a fluid evolving according to the two-dimensional Euler equations. We show that, for general configurations, they must remain concentrated on time-scales much longer than previously known as long as they remain separated. We further prove a new stability estimate for the logarithmic interaction energy as part of the proof.
Cite
@article{arxiv.2506.01477,
title = {Long time confinement of multiple concentrated vortices},
author = {David Meyer},
journal= {arXiv preprint arXiv:2506.01477},
year = {2026}
}