Bila, Nicoleta and Mansfield, Elizabeth L. and Clarkson, P.A. (2006) Symmetry group analysis of the shallow water and semi-geostrophic equations. Q J Mechanics Appl Math, 59 (1). pp. 95-123. ISSN 0033-5614.
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| 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |
| Depositing User: | Peter A Clarkson |
| Date Deposited: | 30 Aug 2008 19:34 |
| Last Modified: | 13 Mar 2012 10:03 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/3856 (The current URI for this page, for reference purposes) |
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