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Nearly Inviscid Faraday Waves

In: Geometry, Mechanics, and Dynamics

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  • Edgar Knobloch
  • José M. Vega

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.

Suggested Citation

  • Edgar Knobloch & José M. Vega, 2002. "Nearly Inviscid Faraday Waves," Springer Books, in: Paul Newton & Philip Holmes & Alan Weinstein (ed.), Geometry, Mechanics, and Dynamics, chapter 6, pages 181-222, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-21791-8_6
    DOI: 10.1007/0-387-21791-6_6
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