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Planetary waves in polar basins: Some exact solutions
Citation
Cockerill, M and Bassom, AP and Forbes, LK, Planetary waves in polar basins: Some exact solutions, Applied Mathematics Letters, 117 Article 107121. ISSN 0893-9659 (2021) [Refereed Article]
Copyright Statement
© 2021 Elsevier Ltd. All rights reserved.
DOI: doi:10.1016/j.aml.2021.107121
Abstract
The equations of motion for fluid flow in a shallow circular ocean centred at the North Pole are considered. Small amplitude wave motions in the ocean are governed by a complicated two-point boundary-value problem that has been solved approximately using a combination of asymptotic and numerical methods. Here we point out that the problem admits two families of exact closed-form solutions: one set of solutions can be expressed in terms of associated Legendre functions while the other can be written in simple algebraic form.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | polar basin, Eigenfunctions, closed-form solutions, exact solutions |
| Research Division: | Mathematical Sciences |
| Research Group: | Applied mathematics |
| Research Field: | Theoretical and applied mechanics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Cockerill, M (Ms Madeleine Cockerill) |
| UTAS Author: | Bassom, AP (Professor Andrew Bassom) |
| UTAS Author: | Forbes, LK (Professor Larry Forbes) |
| ID Code: | 144637 |
| Year Published: | 2021 |
| Web of Science® Times Cited: | 1 |
| Deposited By: | Mathematics |
| Deposited On: | 2021-06-01 |
| Last Modified: | 2021-09-28 |
| Downloads: | 0 |
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