On the energy of nonlinear water waves

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2021-ProcRoySocA-Henry.pdf(329.33 KB)
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Date
2021-11-10
Authors
Henry, David
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Volume Title
Publisher
Royal Society of Chemistry
Published Version
10.1098/rspa.2021.0544
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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.
Description
Keywords
Nonlinear water waves , Wave energy , Exact solutions
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
Link to publisher’s version
https://royalsocietypublishing.org/doi/10.1098/rspa.2021.0544#d1e4482
URI
https://hdl.handle.net/10468/12223
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Mathematical Sciences- Journal Articles
Copyright
© 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.