Asymptotic description of a viscous fluid layer

Enrique Cerda, RENE GABRIEL ROJAS CORTES, Enrique Tirapegui

Research output: Contribution to journalArticlepeer-review

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Abstract

We prove that the exact non local equation derived by the present authors for the temporal linear evolution of the surface of a viscous incompressible fluid reduces asymptotically for high viscosity to a second order Mathieu type equation proposed recently by Cerda and Tirapegui. The equation describes a strongly damped pendulum and the conditions of validity of the asymptotic regime are given in terms of the relevant physical parameters.

Original languageEnglish
Pages (from-to)553-565
Number of pages13
JournalJournal of Statistical Physics
Volume101
Issue number1-2
StatePublished - 1 Jan 2000

Keywords

  • Faraday instability
  • Viscous fluid

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