Mathematical aspects of internal wave-current interactions
| dc.contributor.advisor | Henry, David | |
| dc.contributor.author | McCarney, Jordan | en |
| dc.contributor.funder | Research Ireland | en |
| dc.date.accessioned | 2026-09-23T13:13:12Z | |
| dc.date.available | 2026-09-23T13:13:12Z | |
| dc.date.issued | 2026-05-06 | |
| dc.date.submitted | 2026-05-06 | |
| dc.description.abstract | In this thesis we study various aspects of the mathematical theory of internal wave-current interactions in both the ocean and the atmosphere. In Chapter 2 we construct exact, nonlinear, three-dimensional solutions in Lagrangian coordinates describing internal ocean waves propagating on zonal currents in the presence of the Earth's rotation. In Chapter 3 we extend a recent exact nonlinear solution for vertically propagating mountain waves to incorporate the thermodynamics of a moist atmosphere and the the latent heat released during phase transitions of water vapour. Finally, in Chapter 4 we study coupled surface and internal small-amplitude water waves in a two-layer fluid with constant vorticity in the lower layer and an irrotational upper layer, and present results concerning particle trajectories. | en |
| dc.description.status | Not peer reviewed | en |
| dc.description.version | Accepted Version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | McCarney, J. 2026. Mathematical aspects of internal wave-current interactions. PhD Thesis, University College Cork. | |
| dc.identifier.endpage | 120 | |
| dc.identifier.uri | https://hdl.handle.net/10468/19316 | |
| dc.language.iso | en | en |
| dc.publisher | University College Cork | en |
| dc.relation.project | info:eu-repo/grantAgreement/SFI/Frontiers for the Future::Frontiers for Partnership Awards/21/FFP-A/9150/IE/Ocean flow induced by Internal Wave-Current Interactions (IWCI): from linear to nonlinear, incorporating rotational effects/ | |
| dc.rights | © 2026, Jordan McCarney. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Internal waves | |
| dc.subject | Nonlinear waves | |
| dc.subject | Geophysical water waves | |
| dc.subject | Atmospheric mountain waves | |
| dc.subject | Exact solution | |
| dc.subject | Particle paths | |
| dc.subject | Precipitation | |
| dc.title | Mathematical aspects of internal wave-current interactions | |
| dc.type | Doctoral thesis | en |
| dc.type.qualificationlevel | Doctoral | en |
| dc.type.qualificationname | PhD - Doctor of Philosophy | en |
