File(s) under permanent embargo
Planetary waves in polar basins: Some exact solutions
journal contribution
posted on 2023-05-20, 23:35 authored by Madeleine CockerillMadeleine Cockerill, Andrew BassomAndrew Bassom, Lawrence ForbesLawrence ForbesThe 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.
History
Publication title
Applied Mathematics LettersVolume
117Article number
107121Number
107121Pagination
1-7ISSN
0893-9659Department/School
School of Natural SciencesPublisher
Pergamon-Elsevier Science LtdPlace of publication
The Boulevard, Langford Lane, Kidlington, Oxford, England, Ox5 1GbRights statement
© 2021 Elsevier Ltd. All rights reserved.Repository Status
- Restricted