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The simplified quasigeostrophic equations: Existence and uniqueness of strong solutions

Published online by Cambridge University Press:  26 February 2010

A. F. Bennett  and
P. E. Kloeden
A. F. Bennett
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria, Australia, 3168.
P. E. Kloeden
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Murdoch, Western Australia, Australia, 6155.
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Extract

The quasigeostrophic equations describe large scale motion in the atmosphere and oceans at middle latitudes. Being considerably simpler than the primitive equations, they have been widely used for modelling atmospheric and oceanic circulation, and for studies of stability, frontogenesis and turbulence. A number of assertions have been made about these equations; first, that finite element approximate solutions converge in an open flow region [7]; secondly, that solutions depend discontinuously or nondeterministically on initial data [13]; and thirdly, that the energy wave number spectra of the solutions asymptote to the statistical equilibrium spectra of the spectrally truncated equations [12].

Type
Research Article
Information
Mathematika , Volume 27 , Issue 2 , December 1980 , pp. 287 - 311
Copyright
Copyright © University College London 1980

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