Nonlinear water wave models with vorticity
dc.check.embargoformat | Embargo not applicable (If you have not submitted an e-thesis or do not want to request an embargo) | en |
dc.check.info | Not applicable | en |
dc.check.opt-out | Not applicable | en |
dc.check.reason | Not applicable | en |
dc.check.type | No Embargo Required | |
dc.contributor.advisor | Henry, David | en |
dc.contributor.author | Kluczek, Mateusz | |
dc.contributor.funder | Science Foundation Ireland | en |
dc.date.accessioned | 2019-09-19T11:38:29Z | |
dc.date.available | 2019-09-19T11:38:29Z | |
dc.date.issued | 2019 | |
dc.date.submitted | 2019 | |
dc.description.abstract | The 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dc.description.status | Not peer reviewed | en |
dc.description.version | Accepted Version | |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | Kluczek, M. 2019. Nonlinear water wave models with vorticity. PhD Thesis, University College Cork. | en |
dc.identifier.endpage | 131 | en |
dc.identifier.uri | https://hdl.handle.net/10468/8576 | |
dc.language.iso | en | en |
dc.publisher | University College Cork | en |
dc.relation.project | info: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.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | en |
dc.subject | Gerstner-like solution | en |
dc.subject | Nonlinear water waves | en |
dc.subject | Geophysical water waves | en |
dc.subject | Exact and explicit solution | en |
dc.thesis.opt-out | false | |
dc.title | Nonlinear water wave models with vorticity | en |
dc.type | Doctoral thesis | en |
dc.type.qualificationlevel | Doctoral | en |
dc.type.qualificationname | PhD | en |
ucc.workflow.supervisor | d.henry@ucc.ie |
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