On Singular Vortex Patches, II: Long-time dynamics
Analysis of PDEs
2019-10-01 v1
Abstract
In a companion paper, we gave a detailed account of the well-posedness theory for singular vortex patches. Here, we discuss the long-time dynamics of some of the classes of vortex patches we showed to be globally well-posed in the companion work. In particular, we give examples of time-periodic behavior, cusp formation in infinite time at an exponential rate, and spiral formation in infinite time.
Cite
@article{arxiv.1909.13555,
title = {On Singular Vortex Patches, II: Long-time dynamics},
author = {Tarek M. Elgindi and In-Jee Jeong},
journal= {arXiv preprint arXiv:1909.13555},
year = {2019}
}
Comments
17 pages, 6 figures