Journal article
The periodic quasigeostrophic equations: existence and uniqueness of strong solutions
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol.91(3-4), pp.185-203
1982
Abstract
The periodic quasigeostrophic equations are a coupled system of a second order elliptic equation for a streamfunction and first order hyperbolic equations for the relative potential vorticity and surface potential temperatures, on a three-dimensional domain which is periodic in both horizontal spatial co-ordinates. Such equations are used in both numerical and theoretical studies in meteorology and oceanography. In this paper Schauder estimates and a Schauder fixed point theorem are used to prove the existence and uniqueness of strong, that is classical, solutions of the periodic quasigeostrophic equations for a finite interval of time, which is inversely proportional to the sum of the norms of the initial vorticity and surface temperatures.
Details
- Title
- The periodic quasigeostrophic equations: existence and uniqueness of strong solutions
- Authors/Creators
- A.F. Bennett (Author/Creator)P.E. Kloeden (Author/Creator)
- Publication Details
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol.91(3-4), pp.185-203
- Publisher
- University of California Press
- Identifiers
- 991005540490407891
- Copyright
- © Royal Society of Edinburgh 1982
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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