Nonhydrostatic Pollard-like internal geophysical waves

dc.check.date2020-05-01
dc.check.infoAccess to this article is restricted until 12 months after publication by request of the publisheren
dc.contributor.authorKluczek, Mateusz
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2019-06-18T13:50:55Z
dc.date.available2019-06-18T13:50:55Z
dc.date.issued2019-05-01
dc.date.updated2019-06-18T13:42:45Z
dc.description.abstractWe 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.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKluczek, M. (2019) 'Nonhydrostatic Pollard-like internal geophysical waves'. Discrete and Continuous Dynamical Systems, 39, pp. 5171-5183. doi: 10.3934/dcds.2019210en
dc.identifier.doi10.3934/dcds.2019210en
dc.identifier.endpage5183en
dc.identifier.issn1078-0947
dc.identifier.journaltitleDiscrete and Continuous Dynamical Systemsen
dc.identifier.startpage5171en
dc.identifier.urihttps://hdl.handle.net/10468/8066
dc.identifier.volume39en
dc.language.isoenen
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.relation.projectinfo: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
dc.relation.urihttp://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.2019210en
dc.subjectExact and explicit solutionsen
dc.subjectGeophysicalen
dc.subjectInternal water wavesen
dc.subjectNonhydrostatic modelen
dc.subjectEquatorial water wavesen
dc.subjectGerstner wavesen
dc.titleNonhydrostatic Pollard-like internal geophysical wavesen
dc.typeArticle (peer-reviewed)en
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