Original paper
An analytical and numerical study of steady patches in the disc
Abstract
In this paper, we prove the existence of m-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 m = 1 and m = 2.We also discuss some numerical experiments highlighting the interaction between the boundary of the patch and the rigid...
Paper Details
Title
An analytical and numerical study of steady patches in the disc
Published Date
Nov 7, 2016
Journal
Volume
9
Issue
7
Pages
1609 - 1670