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

Doak, A; Gao, T; Vanden-Broeck, J-M; Kandola, JJS; (2020) Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields. The Quarterly Journal of Mechanics and Applied Mathematics , Article hbaa009. 10.1093/qjmam/hbaa009.

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Abstract

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.

Type: Article
Title: Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields
DOI: 10.1093/qjmam/hbaa009
Publisher version: http://dx.doi.org/10.1093/qjmam/hbaa009
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10107990
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