title: Faraday waves, streaming flow, and relaxation oscillations in nearly circular containers
creator: Higuera Torron, Maria Jesus
creator: Porter, Jeffrey Brent
creator: Knobloch, Edgar
subject: Mechanics
subject: Mathematics
description: Faraday waves near onset in an elliptical container are described by a third-order system of ordinary differential equations with characteristic slow-fast structure. These equations describe the interaction of standing waves with a weakly damped streaming flow driven by Reynolds stresses in boundary layers at the free surface and the rigid walls, and capture the proliferation with decreasing damping of periodic and nonperiodic relaxation oscillations observed near onset in previous simulations. These structures are the result of slow drift through symmetry-related Hopf bifurcations.
publisher: E.T.S.I. Aeronáuticos (UPM)
rights: https://creativecommons.org/licenses/by-nc-nd/3.0/es/
date: 2008-03
type: info:eu-repo/semantics/article
type: Article
source: Chaos, ISSN 1054-1500, 2008-03, Vol. 18, No. 1
type: PeerReviewed
format: application/pdf
language: eng
relation: info:eu-repo/grantAgreement/MINECO//ESP2006-03091
rights: info:eu-repo/semantics/openAccess
relation: info:eu-repo/semantics/altIdentifier/doi/10.1063/1.2779860
identifier: https://oa.upm.es/53468/