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Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields

Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields

Doak, A, Gao, T ORCID: 0000-0002-6425-1568 and Vanden-Broeck, J -M (2022) Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields. Quarterly Journal of Mechanics and Applied Mathematics. ISSN 0033-5614 (Print), 1464-3855 (Online) (In Press) (doi:https://doi.org/10.1093/qjmam/hbac007)

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Abstract

This paper is concerned with capillary-gravity waves travelling on the interface of a dielectric gas and a conducting fluid under the effect of a vertical electric field. A boundary integral equation method is employed to compute fully nonlinear steady travelling wave solutions. The global bifurcation diagram of periodic waves, solitary waves, generalised solitary waves and dark solitary waves is presented and discussed in detail.

Item Type: Article
Uncontrolled Keywords: free-surface waves; capillary waves; gravity waves; electrohydrodynamics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TC Hydraulic engineering. Ocean engineering
Faculty / School / Research Centre / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Last Modified: 16 Jun 2022 11:50
URI: http://gala.gre.ac.uk/id/eprint/34779

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