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Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields

Gao, T; Milewski, PA; Papageorgiou, DT; Vanden-Broeck, J-M; (2018) Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields. Journal of Engineering Mathematics , 108 (1) pp. 107-122. 10.1007/s10665-017-9912-z. Green open access

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Abstract

Two-dimensional capillary–gravity waves travelling under the effect of a vertical electric field are considered. The fluid is assumed to be a dielectric of infinite depth. It is bounded above by another fluid which is hydrodynamically passive and perfectly conducting. The problem is solved numerically by time-dependent conformal mapping methods. Fully nonlinear waves are presented, and their stability and dynamics are studied.

Type: Article
Title: Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s10665-017-9912-z
Publisher version: http://doi.org/10.1007/s10665-017-9912-z
Language: English
Additional information: © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Keywords: Surface wave; Solitary wave; Wave interactions
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/1565270
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