Doak, A;
Gao, T;
Vanden-Broeck, J-M;
Kandola, JJS;
(2020)
Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields.
The Quarterly Journal of Mechanics and Applied Mathematics
, 73
(3)
pp. 231-250.
10.1093/qjmam/hbaa009.
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Abstract
In this article, we consider capillary-gravity waves propagating on the interface of two dielectric fluids under the influence of normal electric fields. The density of the upper fluid is assumed to be much smaller than the lower one. Linear and weakly nonlinear theories are studied. The connection to the results in other limit configurations is discussed. Fully nonlinear computations for travelling wave solutions are achieved via a boundary integral equation method. Periodic waves, solitary waves and generalised solitary waves are presented. The bifurcation of generalised solitary waves is discussed in detail.
| Type: | Article |
|---|---|
| Title: | Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/qjmam/hbaa009 |
| Publisher version: | http://dx.doi.org/10.1093/qjmam/hbaa009 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| 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/10107990 |
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