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. The 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. The 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. The 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.</jats:p>
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | solitary waves; surface waves; gravity waves; capillarity; Fluids & Plasmas |
| Divisions: | Faculty of Science and Health > Mathematical Sciences, Department 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: | 05 Jun 2023 09:12 |
| URI: | http://repository.essex.ac.uk/id/eprint/34128 |
Available files
Filename: depopoq.pdf