@article{6a32945f390e4201814782b02286b148,
title = "An analytical and numerical study of steady patches in the disc",
abstract = "We prove the existence of m-fold rotating patches for the Euler equations in the disc, for the 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 one.",
keywords = "Bifurcation, Euler equations, V-states",
author = "{de la Hoz}, Francisco and Zineb Hassainia and Taoufik Hmidi and Joan Mateu",
note = "Funding Information: Francisco de la Hoz was supported by the Basque Government, through the project IT641-13, and by the Ministerio de Econom{\'i}a y Competitividad, through the project MTM2014-53145-P. Taoufik Hmidi was partially supported by the Agence Nationale de la Recherche project Dyficolti ANR-13-BS01-0003-01. Joan Mateu was partially supported by the grants of Generalitat de Catalunya 2014SGR7, Ministerio de Econom{\'i}a y Competitividad MTM2013-4469 and ECPP7 Marie Curie project Metric Analysis for Emergent Technologies",
year = "2016",
doi = "10.2140/apde.2016.9.1609",
language = "English (US)",
volume = "9",
pages = "1609--1670",
journal = "Analysis and PDE",
issn = "2157-5045",
publisher = "Mathematical Sciences Publishers",
number = "7",
}