Pollard waves with underlying currents

Simple item page
dc.contributor.authorHenry, David
dc.contributor.authorLyons, Tony
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2021-11-10T12:16:50Z
dc.date.available2021-11-10T12:16:50Z
dc.date.issued2021-01-21
dc.date.updated2021-05-20T12:17:13Z
dc.description.abstractWe construct an exact solution of the geophysical fluid dynamics governing equations which models waves in the presence of underlying currents, extending Pollard’s wave solution to admit underlying meridional and vertical currents at mid-latitudes. We show that these currents cannot be prescribed arbitrarily, but rather must be constant and form a velocity vector which is parallel to the Earth’s rotation vector. At the equator, there is freedom to prescribe a meridional current term which may vary both zonally and vertically.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry D. and Lyons T. (2021) 'Pollard waves with underlying currents', Proceedings of the American Mathematical Society, 149 (3), pp. 1175-1188. doi: 10.1090/proc/15309en
dc.identifier.doi10.1090/proc/15309en
dc.identifier.endpage1188en
dc.identifier.issn0002-9939
dc.identifier.issued3en
dc.identifier.journaltitleProceedings of the American Mathematical Societyen
dc.identifier.startpage1175en
dc.identifier.urihttps://hdl.handle.net/10468/12189
dc.identifier.volume149en
dc.language.isoenen
dc.publisherThe American Mathematical Societyen
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.ams.org/journals/proc/2021-149-03/S0002-9939-2021-15309-4/
dc.rights© 2021 American Mathematical Society. First published by the American Mathematical Society in Transactions of the American Mathematical Society, 149, January 2021.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectExact solutionen
dc.subjectGeophysical fluid dynamicsen
dc.subjectNonlinear wavesen
dc.subjectWave-current interactionsen
dc.titlePollard waves with underlying currentsen
dc.typeArticle (peer-reviewed)en
Files
Original bundle
Now showing 1 - 2 of 2
Thumbnail Image
Name:
2021-DH-TL.pdf
Size:
654.28 KB
Format:
Adobe Portable Document Format
Description:
Author's original
Thumbnail Image
Name:
2021-ProcAMS-Henry-Lyons.pdf
Size:
822.35 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