Doak, A and Gao, T 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, 75 (3). pp. 215-234. DOI https://doi.org/10.1093/qjmam/hbac007
Doak, A and Gao, T 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, 75 (3). pp. 215-234. DOI https://doi.org/10.1093/qjmam/hbac007
Doak, A and Gao, T 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, 75 (3). pp. 215-234. DOI https://doi.org/10.1093/qjmam/hbac007
Abstract
This article 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 |
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Uncontrolled Keywords: | capillarity; gravity waves; solitary waves; surface waves; Fluids & Plasmas |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 04 Jan 2023 16:44 |
Last Modified: | 30 Oct 2024 20:59 |
URI: | http://repository.essex.ac.uk/id/eprint/34128 |
Available files
Filename: depopoq.pdf