Standing wave description of nearly conservative, parametrically excited waves in extended systems

Mancebo, Francisco J. y Vega de Prada, José Manuel (2004). Standing wave description of nearly conservative, parametrically excited waves in extended systems. "Physica D: Nonlinear Phenomena", v. 197 (n. 3-4); pp. 346-363. ISSN 0167-2789. https://doi.org/10.1016/j.physd.2004.07.006.

Descripción

Título: Standing wave description of nearly conservative, parametrically excited waves in extended systems
Autor/es:
  • Mancebo, Francisco J.
  • Vega de Prada, José Manuel
Tipo de Documento: Artículo
Título de Revista/Publicación: Physica D: Nonlinear Phenomena
Fecha: Octubre 2004
Volumen: 197
Materias:
Palabras Clave Informales: Nearly conservative systems; Amplitude equations; Parametrically driven waves; Standing Faraday waves; Mean flow
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

We consider the standing wavetrains that appear near threshold in a nearly conservative, parametrically excited, extended system that is invariant under space translations and reflection. Sufficiently close to threshold, the relevant equation is a Ginzburg-Landau equation whose cubic coefficient is extremely sensitive to wavenumber shifts, which can only be understood in the context of a more general quintic equation that also includes two cubic terms involving the spatial derivative. This latter equation is derived from the standard system of amplitude equations for counterpropagating waves, whose validity is well established today. The coefficients of the amplitude equation for standing waves are obtained for 1D Faraday waves in a deep container, to correct several gaps in former analyses in the literature. This application requires to also consider the effect of the viscous mean flow produced by the surface waves, which couples the dynamics of the surface waves themselves with the free surface deformation induced by the mean flow.

Más información

ID de Registro: 6061
Identificador DC: http://oa.upm.es/6061/
Identificador OAI: oai:oa.upm.es:6061
Identificador DOI: 10.1016/j.physd.2004.07.006
URL Oficial: http://adsabs.harvard.edu/abs/2004PhyD..197..346M
Depositado por: Memoria de Investigacion 2
Depositado el: 17 Feb 2011 11:34
Ultima Modificación: 20 Abr 2016 14:42
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