Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results
Analysis of PDEs
2020-12-17 v1
Abstract
In this paper, we construct new, uniformly-rotating solutions of the vortex sheet equation bifurcating from circles with constant vorticity amplitude. The proof is accomplished via a Lyapunov-Schmidt reduction and a second order expansion of the reduced system.
Keywords
Cite
@article{arxiv.2012.08709,
title = {Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results},
author = {Javier Gómez-Serrano and Jaemin Park and Jia Shi and Yao Yao},
journal= {arXiv preprint arXiv:2012.08709},
year = {2020}
}
Comments
22 pages, 2 figures