An analytical and numerical study of steady patches in the disc
Analysis of PDEs
2015-10-07 v1
Abstract
In this paper, we prove the existence of -fold rotating patches for the Euler equations in the disc, for both simply-connected and doubly-connected cases. Compared to the planar case, the rigid boundary introduces rich dynamics for the lowest symmetries and . We also discuss some numerical experiments highlighting the interaction between the boundary of the patch and the rigid one.
Keywords
Cite
@article{arxiv.1510.01550,
title = {An analytical and numerical study of steady patches in the disc},
author = {Francisco de la Hoz and Zineb Hassainia and Taoufik Hmidi and Joan Mateu},
journal= {arXiv preprint arXiv:1510.01550},
year = {2015}
}
Comments
56 pages