Bila, Nicoleta and Mansfield, Elizabeth L. and 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. (The full text of this publication is not available from this repository)
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'.
|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:||28 Apr 2014 15:53|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/3856 (The current URI for this page, for reference purposes)|