Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification

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dc.contributor.authorHenry, David
dc.contributor.authorMartin, Calin I.
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2021-11-10T10:54:30Z
dc.date.available2021-11-10T10:54:30Z
dc.date.issued2018-11-22
dc.date.updated2021-05-20T12:23:09Z
dc.description.abstractIn this paper we derive an exact solution to the governing equations for geophysical fluid dynamics in spherical coordinates which incorporates fluid stratification. This solution represents a steady, purely–azimuthal equatorial flow with an associated free-surface. Following the derivation of the solution we demonstrate that there is a well-defined relationship between the imposed pressure at the free-surface and the resulting distortion of the surface's shape. Finally, the solution for stratified fluid flow is subjected to a short-wavelength stability analysis.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, D. and Martin, C. I. (2019) 'Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification', Journal of Differential Equations, 266, pp. 6788-6808. doi: 10.1016/j.jde.2018.11.017en
dc.identifier.doi10.1016/j.jde.2018.11.017en
dc.identifier.endpage6808en
dc.identifier.issn0022-0396
dc.identifier.journaltitleJournal of Differential Equationsen
dc.identifier.startpage6788en
dc.identifier.urihttps://hdl.handle.net/10468/12186
dc.identifier.volume266en
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/S0022039618306636
dc.rights© 2018 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.subjectAzimuthal flowsen
dc.subjectVariable (linear) densityen
dc.subjectSpherical coordinatesen
dc.subjectCoriolis forceen
dc.subjectImplicit function theoremen
dc.subjectShort-wavelength perturbationen
dc.titleFree-surface, purely azimuthal equatorial flows in spherical coordinates with stratificationen
dc.typeArticle (peer-reviewed)en
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