Islands in stable fluid equilibria
Analysis of PDEs
2023-05-19 v1 Fluid Dynamics
Abstract
We prove that stable fluid equilibria with trivial homology on curved, reflection-symmetric periodic channels must posses "islands", or cat's eye vortices. In this way, arbitrarily small disturbances of a flat boundary cause a change of streamline topology of stable steady states.
Cite
@article{arxiv.2305.11150,
title = {Islands in stable fluid equilibria},
author = {Theodore D. Drivas and Daniel Ginsberg},
journal= {arXiv preprint arXiv:2305.11150},
year = {2023}
}
Comments
6 pages, 2 figures