On the energy of nonlinear water waves
dc.contributor.author | Henry, David | |
dc.date.accessioned | 2021-11-17T12:11:32Z | |
dc.date.available | 2021-11-17T12:11:32Z | |
dc.date.issued | 2021-11-10 | |
dc.date.updated | 2021-11-17T11:49:58Z | |
dc.description.abstract | This article presents results concerning the excess kinetic and potential energies for exact nonlinear water waves. In particular, it is proven, for periodic travelling irrotational water waves, that the excess kinetic energy density is always negative, whereas the excess potential energy density is always positive, in the steady reference frame. A characterization of the total excess energy density as a weighted mean of the kinetic energy along the wave surface profile is also presented. | en |
dc.description.status | Peer reviewed | en |
dc.description.version | Published Version | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | Henry, D. (2021) 'On the energy of nonlinear water waves', Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 477, 2255 (12 pp). doi: 10.1098/rspa.2021.0544 | en |
dc.identifier.doi | 10.1098/rspa.2021.0544 | en |
dc.identifier.endpage | 12 | en |
dc.identifier.issn | 1364-5021 | |
dc.identifier.issued | 2255 | en |
dc.identifier.journaltitle | Proceedings of The Royal Society A-Mathematical Physical And Engineering Sciences | en |
dc.identifier.startpage | 1 | en |
dc.identifier.uri | https://hdl.handle.net/10468/12223 | |
dc.identifier.volume | 477 | en |
dc.language.iso | en | en |
dc.publisher | Royal Society of Chemistry | en |
dc.relation.uri | https://royalsocietypublishing.org/doi/10.1098/rspa.2021.0544#d1e4482 | |
dc.rights | © 2021 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en |
dc.subject | Nonlinear water waves | en |
dc.subject | Wave energy | en |
dc.subject | Exact solutions | en |
dc.title | On the energy of nonlinear water waves | en |
dc.type | Article (peer-reviewed) | en |