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Planetary waves in polar basins: Some exact solutions
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Cockerill, M, Bassom, AP
ORCID: 0000-0003-3275-7801 and Forbes, LK
ORCID: 0000-0002-9135-3594 2021
, 'Planetary waves in polar basins: Some exact solutions'
, Applied Mathematics Letters, vol. 117
, pp. 1-7
, doi: 10.1016/j.aml.2021.107121.


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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 Type: | Article |
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Authors/Creators: | Cockerill, M and Bassom, AP and Forbes, LK |
Keywords: | polar basin, Eigenfunctions, closed-form solutions, exact solutions |
Journal or Publication Title: | Applied Mathematics Letters |
Publisher: | Pergamon-Elsevier Science Ltd |
ISSN: | 0893-9659 |
DOI / ID Number: | 10.1016/j.aml.2021.107121 |
Copyright Information: | © 2021 Elsevier Ltd. All rights reserved. |
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