A modified equatorial β-plane approximation modelling nonlinear wave-current interactions

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dc.contributor.authorHenry, David
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2021-11-09T15:43:54Z
dc.date.available2021-11-09T15:43:54Z
dc.date.issued2017-04-19
dc.date.updated2021-05-10T10:04:21Z
dc.description.abstractA modification of the standard geophysical equatorial β-plane model equations, incorporating a gravitational-correction term in the tangent plane approximation, is derived. We present an exact solution satisfying the modified equations, whose form is explicit in the Lagrangian framework, and which represents three-dimensional, nonlinear oceanic wave-current interactions. It is rigorously established, by way of analytical and degree-theoretical considerations, that the solution is dynamically possible, in the sense that the mapping it prescribes from Lagrangian to Eulerian coordinates is a global diffeomorphism.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, D. (2017) 'A modified equatorial β-plane approximation modelling nonlinear wave-current interactions', Journal of Differential Equations, 263 (5), pp. 2554-2566. doi: 10.1016/j.jde.2017.04.007en
dc.identifier.doi10.1016/j.jde.2017.04.007en
dc.identifier.endpage2566en
dc.identifier.issn0022-0396
dc.identifier.issued5en
dc.identifier.journaltitleJournal of Differential Equationsen
dc.identifier.startpage2554en
dc.identifier.urihttps://hdl.handle.net/10468/12179
dc.identifier.volume263en
dc.language.isoenen
dc.publisherElsevieren
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.urihttps://www.sciencedirect.com/science/article/pii/S0022039617302097
dc.rights© 2017 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectExact solutionen
dc.subjectGlobal diffeomorphismen
dc.subjectLagrangian variablesen
dc.subjectWave-current interactionsen
dc.subjectβ-Planeen
dc.titleA modified equatorial β-plane approximation modelling nonlinear wave-current interactionsen
dc.typeArticle (peer-reviewed)en
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