Existence of gravity-capillary Crapper waves with concentrated vorticity
Analysis of PDEs
2021-07-01 v1
Abstract
The aim of this paper is to prove the existence of gravity-capillary Crapper waves with the presence of vorticity. In particular, we consider a concentrated vorticity: point vortex and vortex patch. We show that for small gravity and small vorticity it is possible to demonstrate that the waves are overhanging.
Cite
@article{arxiv.2106.15923,
title = {Existence of gravity-capillary Crapper waves with concentrated vorticity},
author = {Diego Córdoba and Elena Di Iorio},
journal= {arXiv preprint arXiv:2106.15923},
year = {2021}
}