Planetary waves in polar basins: Some exact solutions
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 met...
| Published in: | Applied Mathematics Letters |
|---|---|
| Main Authors: | , , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
Pergamon-Elsevier Science Ltd
2021
|
| Subjects: | |
| Online Access: | https://doi.org/10.1016/j.aml.2021.107121 http://ecite.utas.edu.au/144637 |
| _version_ | 1821657391112912896 |
|---|---|
| author | Cockerill, M Bassom, AP Forbes, LK |
| author_facet | Cockerill, M Bassom, AP Forbes, LK |
| author_sort | Cockerill, M |
| collection | Unknown |
| container_start_page | 107121 |
| container_title | Applied Mathematics Letters |
| container_volume | 117 |
| description | 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. |
| format | Article in Journal/Newspaper |
| genre | North Pole |
| genre_facet | North Pole |
| geographic | North Pole |
| geographic_facet | North Pole |
| id | ftunivtasecite:oai:ecite.utas.edu.au:144637 |
| institution | Open Polar |
| language | English |
| op_collection_id | ftunivtasecite |
| op_doi | https://doi.org/10.1016/j.aml.2021.107121 |
| op_relation | http://dx.doi.org/10.1016/j.aml.2021.107121 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] http://ecite.utas.edu.au/144637 |
| publishDate | 2021 |
| publisher | Pergamon-Elsevier Science Ltd |
| record_format | openpolar |
| spelling | ftunivtasecite:oai:ecite.utas.edu.au:144637 2025-01-16T23:48:35+00:00 Planetary waves in polar basins: Some exact solutions Cockerill, M Bassom, AP Forbes, LK 2021 https://doi.org/10.1016/j.aml.2021.107121 http://ecite.utas.edu.au/144637 en eng Pergamon-Elsevier Science Ltd http://dx.doi.org/10.1016/j.aml.2021.107121 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] http://ecite.utas.edu.au/144637 Mathematical Sciences Applied mathematics Theoretical and applied mechanics Refereed Article PeerReviewed 2021 ftunivtasecite https://doi.org/10.1016/j.aml.2021.107121 2021-10-04T22:17:17Z 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. Article in Journal/Newspaper North Pole Unknown North Pole Applied Mathematics Letters 117 107121 |
| spellingShingle | Mathematical Sciences Applied mathematics Theoretical and applied mechanics Cockerill, M Bassom, AP Forbes, LK Planetary waves in polar basins: Some exact solutions |
| title | Planetary waves in polar basins: Some exact solutions |
| title_full | Planetary waves in polar basins: Some exact solutions |
| title_fullStr | Planetary waves in polar basins: Some exact solutions |
| title_full_unstemmed | Planetary waves in polar basins: Some exact solutions |
| title_short | Planetary waves in polar basins: Some exact solutions |
| title_sort | planetary waves in polar basins: some exact solutions |
| topic | Mathematical Sciences Applied mathematics Theoretical and applied mechanics |
| topic_facet | Mathematical Sciences Applied mathematics Theoretical and applied mechanics |
| url | https://doi.org/10.1016/j.aml.2021.107121 http://ecite.utas.edu.au/144637 |