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Symmetry group analysis of the shallow water and semi-geostrophic equations

Bila, Nicoleta, Mansfield, Elizabeth L., Clarkson, Peter (2006) Symmetry group analysis of the shallow water and semi-geostrophic equations. Quarterly Journal of Mechanics and Applied Mathematics, 59 (1). pp. 95-123. ISSN 0033-5614. (doi:10.1093/qjmam/hbi033) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3856)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1093/qjmam/hbi033

Abstract

The two-dimensional shallow water equations and their semi-geostrophic approximation that arise in meteorology and oceanography are analysed from the point of view of symmetry groups theory. A complete classification of their associated classical symmetries, potential symmetries, variational symmetries and conservation laws is found. The semi-geostrophic equations are found to lack conservation of angular momentum. We also show how the particle relabelling symmetry can be used to rewrite the semi-geostrophic equations in such a way that a well-defined formal series solution, smooth only in time, may be carried out. We show that such solutions are in the form of an infinite linear cascade'.

Item Type: Article
DOI/Identification number: 10.1093/qjmam/hbi033
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Elizabeth Mansfield
Date Deposited: 30 Aug 2008 19:34 UTC
Last Modified: 16 Nov 2021 09:42 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/3856 (The current URI for this page, for reference purposes)

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