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

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

Gao, T. ORCID: 0000-0002-6425-1568, Milewski, P. A., Papageorgiou, D. T. and Vanden-Broeck, J.-M. (2017) Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields. Journal of Engineering Mathematics, 108 (1). pp. 107-122. ISSN 0022-0833 (Print), 1573-2703 (Online) (doi:https://doi.org/10.1007/s10665-017-9912-z)

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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.

Item Type: Article
Uncontrolled Keywords: electrohydrodynamics, free surface, solitary wave, wave interaction
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 07 Nov 2019 14:15
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/25952

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