Nonhydrostatic Pollard-like internal geophysical waves

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dc.contributor.author Kluczek, Mateusz
dc.date.accessioned 2019-06-18T13:50:55Z
dc.date.available 2019-06-18T13:50:55Z
dc.date.issued 2019-05-01
dc.identifier.citation Kluczek, M. (2019) 'Nonhydrostatic Pollard-like internal geophysical waves'. Discrete and Continuous Dynamical Systems, 39, pp. 5171-5183. doi: 10.3934/dcds.2019210 en
dc.identifier.volume 39 en
dc.identifier.startpage 5171 en
dc.identifier.endpage 5183 en
dc.identifier.issn 1078-0947
dc.identifier.uri http://hdl.handle.net/10468/8066
dc.identifier.doi 10.3934/dcds.2019210 en
dc.description.abstract We present a new exact and explicit Pollard-like solution describing internal water waves representing the oscillation of the thermocline in a nonhydrostatic model. The derived solution is a modification of Pollard's surface wave solution in order to describe internal water waves at general latitudes. The novelty of this model consists in the embodiment of transitional layers beneath the thermocline. We present a Lagrangian analysis of the nonlinear internal water waves and we show the existence of two modes of the wave motion. en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Institute of Mathematical Sciences en
dc.relation.uri http://aimsciences.org//article/doi/10.3934/dcds.2019210
dc.rights © 2019 American Institute of Mathematical Sciences. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version is available online at: http://aimsciences.org//article/doi/10.3934/dcds.2019210 en
dc.subject Exact and explicit solutions en
dc.subject Geophysical en
dc.subject Internal water waves en
dc.subject Nonhydrostatic model en
dc.subject Equatorial water waves en
dc.subject Gerstner waves en
dc.title Nonhydrostatic Pollard-like internal geophysical waves en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Mateusz Kluczek, Mathematics, University College Cork, Cork, Ireland. +353-21-490-3000 en
dc.internal.availability Full text available en
dc.check.info Access to this article is restricted until 12 months after publication by request of the publisher en
dc.check.date 2020-05-01
dc.date.updated 2019-06-18T13:42:45Z
dc.description.version Accepted Version en
dc.internal.rssid 489228490
dc.contributor.funder Science Foundation Ireland en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Discrete and Continuous Dynamical Systems en
dc.internal.copyrightchecked No !!CORA!!
dc.internal.licenseacceptance Yes en
dc.relation.project info:eu-repo/grantAgreement/SFI/SFI Career Development Award/13/CDA/2117/IE/Nonlinear wave-current interactions in the nearshore: addressing the role of vorticity and nonlinearity in the modelling of ocean energy/ en


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