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Planetary waves in polar basins: Some exact solutions


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


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

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