Nearly Inviscid Faraday Waves

Edgar Knobloch and José M. Vega

Chapter 6 in Geometry, Mechanics, and Dynamics, 2002, pp 181-222 from Springer

Abstract: Abstract Many powerful techniques from Hamiltonian mechanics are available for the study of ideal hydrodynamics. This article explores some of the consequences of including small viscosity in a study of surface gravitycapillary waves excited by the vertical vibration of a container. It is shown that in this system, as in others, the addition of small viscosity provides a singular perturbation of the ideal fluid problem, and that as a result itse ectsarenontrivial.Therelevanceofexistingstudiesofidealfluid problems is discussed from this point of view.

Keywords: Periodic Orbit; Hopf Bifurcation; Bifurcation Diagram; Chaotic Attractor; Liquid Bridge (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-21791-8_6

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DOI: 10.1007/0-387-21791-6_6

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