Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates

Simple item page
dc.contributor.authorHenry, David
dc.contributor.authorMartin, Calin I.
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2021-11-09T16:00:01Z
dc.date.available2021-11-09T16:00:01Z
dc.date.issued2018-12-05
dc.date.updated2021-11-09T15:53:57Z
dc.description.abstractThis paper is concerned with the derivation of an exact solution to the governing equations for geophysical fluid dynamics expressed in terms of cylindrical coordinates. It is demonstrated, by way of a functional analytic approach, that there is a well-defined relationship between the imposed pressure at the free-surface and the resulting distortion of the surface, and it is established that this relationship exhibits the expected monotonicity properties. This exact solution for stratified fluid flow is then subjected to a shortwavelength perturbation stability analysis.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, D. and Martin, C. I. (2018) 'Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates', Dynamics Of Partial Differential Equations, 15, pp. 337-349. doi: 10.4310/DPDE.2018.v15.n4.a4en
dc.identifier.doi10.4310/DPDE.2018.v15.n4.a4en
dc.identifier.endpage349en
dc.identifier.issn1548-159X
dc.identifier.journaltitleDynamics of Partial Differential Equationsen
dc.identifier.startpage337en
dc.identifier.urihttps://hdl.handle.net/10468/12180
dc.identifier.volume15en
dc.language.isoenen
dc.publisherInternational Press of Boston, Inc.en
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.rights© International Press of Boston, Inc.en
dc.subjectAzimuthal flowsen
dc.subjectVariable (linear) densityen
dc.subjectCylindrical coordinatesen
dc.subjectCoriolis forceen
dc.subjectImplicit function theoremen
dc.titleExact, purely azimuthal stratified equatorial flows in cylindrical coordinatesen
dc.typeArticle (peer-reviewed)en
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
2018-DynPDE-Henry-Martin.pdf
Size:
291.42 KB
Format:
Adobe Portable Document Format
Description:
Accepted version
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
2.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Mathematical Sciences- Journal Articles