On the energy of nonlinear water waves

dc.contributor.authorHenry, David
dc.date.accessioned2021-11-17T12:11:32Z
dc.date.available2021-11-17T12:11:32Z
dc.date.issued2021-11-10
dc.date.updated2021-11-17T11:49:58Z
dc.description.abstractThis 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.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, 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.2021.0544en
dc.identifier.doi10.1098/rspa.2021.0544en
dc.identifier.endpage12en
dc.identifier.issn1364-5021
dc.identifier.issued2255en
dc.identifier.journaltitleProceedings of The Royal Society A-Mathematical Physical And Engineering Sciencesen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/12223
dc.identifier.volume477en
dc.language.isoenen
dc.publisherRoyal Society of Chemistryen
dc.relation.urihttps://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.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectNonlinear water wavesen
dc.subjectWave energyen
dc.subjectExact solutionsen
dc.titleOn the energy of nonlinear water wavesen
dc.typeArticle (peer-reviewed)en
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