Nonlinear water wave models with vorticity

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dc.check.embargoformatEmbargo not applicable (If you have not submitted an e-thesis or do not want to request an embargo)en
dc.check.infoNot applicableen
dc.check.opt-outNot applicableen
dc.check.reasonNot applicableen
dc.check.typeNo Embargo Required
dc.contributor.advisorHenry, Daviden
dc.contributor.authorKluczek, Mateusz
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2019-09-19T11:38:29Z
dc.date.available2019-09-19T11:38:29Z
dc.date.issued2019
dc.date.submitted2019
dc.description.abstractThe results presented in this thesis consider geophysical nonlinear water waves and small-amplitude gravity waves. New exact and explicit solutions in terms of Lagrangian variables are derived to model geophysical surface and internal water waves and an analysis of small-amplitude waves from the point of view of the dispersion relation is presented. The solutions are Gerstner-like or Pollard-like in their character and prescribe three-dimensional water waves propagating in the horizontal direction. The models presented in this thesis represent various complicated and intricate scenarios which build the dynamics of the ocean. We prove using a rigorous mathematical analysis the validity of these models. In each model a dispersion relation arises as a product of the analysis indicating how the relative wave speed of the wave varies with respect to various physical parameters introduced by a particular model.en
dc.description.statusNot peer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKluczek, M. 2019. Nonlinear water wave models with vorticity. PhD Thesis, University College Cork.en
dc.identifier.endpage131en
dc.identifier.urihttps://hdl.handle.net/10468/8576
dc.language.isoenen
dc.publisherUniversity College Corken
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© 2019, Mateusz Kluczek.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectGerstner-like solutionen
dc.subjectNonlinear water wavesen
dc.subjectGeophysical water wavesen
dc.subjectExact and explicit solutionen
dc.thesis.opt-outfalse
dc.titleNonlinear water wave models with vorticityen
dc.typeDoctoral thesisen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePhDen
ucc.workflow.supervisord.henry@ucc.ie
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