Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields

A. Doak, T. Gao, J. M. Vanden-Broeck, J. J.S. Kandola

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In this article, we consider capillary-gravity waves propagating on the interface of two dielectric fluids under the influence of normal electric fields. The density of the upper fluid is assumed to be much smaller than the lower one. Linear and weakly nonlinear theories are studied. The connection to the results in other limit configurations is discussed. Fully nonlinear computations for travelling wave solutions are achieved via a boundary integral equation method. Periodic waves, solitary waves and generalised solitary waves are presented. The bifurcation of generalised solitary waves is discussed in detail.

Original languageEnglish
Pages (from-to)231-250
Number of pages20
JournalQuarterly Journal of Mechanics and Applied Mathematics
Issue number3
Early online date5 Jun 2020
Publication statusPublished - 1 Aug 2020

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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