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:unknown
Published: Pergamon-Elsevier Science Ltd 2021
Subjects:
polar basin
Eigenfunctions
closed-form solutions
exact solutions
North Pole
Online Access:https://eprints.utas.edu.au/37666/
id ftunivtasmania:oai:eprints.utas.edu.au:37666
record_format openpolar
spelling ftunivtasmania:oai:eprints.utas.edu.au:37666 2023-05-15T17:39:43+02:00 Planetary waves in polar basins: Some exact solutions Cockerill, M Bassom, AP Forbes, LK 2021 https://eprints.utas.edu.au/37666/ unknown Pergamon-Elsevier Science Ltd 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 <http://dx.doi.org/10.1016/j.aml.2021.107121>. polar basin Eigenfunctions closed-form solutions exact solutions Article PeerReviewed 2021 ftunivtasmania https://doi.org/10.1016/j.aml.2021.107121 2021-10-04T22:20:35Z 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 University of Tasmania: UTas ePrints North Pole Applied Mathematics Letters 117 107121
institution Open Polar
collection University of Tasmania: UTas ePrints
op_collection_id ftunivtasmania
language unknown
topic polar basin
Eigenfunctions
closed-form solutions
exact solutions
spellingShingle polar basin
Eigenfunctions
closed-form solutions
exact solutions
Cockerill, M
Bassom, AP
Forbes, LK
Planetary waves in polar basins: Some exact solutions
topic_facet polar basin
Eigenfunctions
closed-form solutions
exact solutions
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://eprints.utas.edu.au/37666/
geographic North Pole
geographic_facet North Pole
genre North Pole
genre_facet North Pole
op_relation 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 <http://dx.doi.org/10.1016/j.aml.2021.107121>.
op_doi https://doi.org/10.1016/j.aml.2021.107121
container_title Applied Mathematics Letters
container_volume 117
container_start_page 107121
_version_ 1766140506131136512

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