Phenomenological model of weakly damped Faraday waves and the associated mean flow

Vega de Prada, José Manuel (2004). Phenomenological model of weakly damped Faraday waves and the associated mean flow. "Physical Review E", v. 70 (n. 4); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.70.046306.

Description

Title: Phenomenological model of weakly damped Faraday waves and the associated mean flow
Author/s:
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 2004
ISSN: 1539-3755
Volume: 70
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A phenomenological model of parametric surface waves (Faraday waves) is introduced in the limit of small viscous dissipation that accounts for the coupling between surface motion and slowly varying streaming and large-scale flows (mean flow). The primary bifurcation of the model is to a set of standing waves (stripes, given the functional form of the model nonlinearities chosen here). Our results for the secondary instabilities of the primary wave show that the mean flow leads to a weak destabilization of the base state against Eckhaus and transverse amplitude modulation instabilities, and introduces a longitudinal oscillatory instability which is absent without the coupling. We compare our results with recent one-dimensional amplitude equations for this system systematically derived from the governing hydrodynamic equations.

More information

Item ID: 6066
DC Identifier: http://oa.upm.es/6066/
OAI Identifier: oai:oa.upm.es:6066
DOI: 10.1103/PhysRevE.70.046306
Official URL: http://link.aps.org/doi/10.1103/PhysRevE.70.046306
Deposited by: Memoria de Investigacion 2
Deposited on: 17 Feb 2011 12:11
Last Modified: 20 Apr 2016 14:42
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