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...

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Bibliographic Details
Published in:Applied Mathematics Letters
Main Authors: Cockerill, M, Bassom, AP, Forbes, LK
Format: Article in Journal/Newspaper
Language:English
Published: Pergamon-Elsevier Science Ltd 2021
Subjects:
Mathematical Sciences
Applied mathematics
Theoretical and applied mechanics
North Pole
Online Access:https://doi.org/10.1016/j.aml.2021.107121
http://ecite.utas.edu.au/144637
id ftunivtasecite:oai:ecite.utas.edu.au:144637
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spelling ftunivtasecite:oai:ecite.utas.edu.au:144637 2023-05-15T17:39:44+02:00 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 eCite UTAS (University of Tasmania) North Pole Applied Mathematics Letters 117 107121
institution Open Polar
collection eCite UTAS (University of Tasmania)
op_collection_id ftunivtasecite
language English
topic Mathematical Sciences
Applied mathematics
Theoretical and applied mechanics
spellingShingle Mathematical Sciences
Applied mathematics
Theoretical and applied mechanics
Cockerill, M
Bassom, AP
Forbes, LK
Planetary waves in polar basins: Some exact solutions
topic_facet Mathematical Sciences
Applied mathematics
Theoretical and applied mechanics
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
author Cockerill, M
Bassom, AP
Forbes, LK
author_facet Cockerill, M
Bassom, AP
Forbes, LK
author_sort Cockerill, M
title Planetary waves in polar basins: Some exact solutions
title_short 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_sort planetary waves in polar basins: some exact solutions
publisher Pergamon-Elsevier Science Ltd
publishDate 2021
url https://doi.org/10.1016/j.aml.2021.107121
http://ecite.utas.edu.au/144637
geographic North Pole
geographic_facet North Pole
genre North Pole
genre_facet North Pole
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
op_doi https://doi.org/10.1016/j.aml.2021.107121
container_title Applied Mathematics Letters
container_volume 117
container_start_page 107121
_version_ 1766140509680566272

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