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The existence of Hadley convective regimes of atmospheric motion

Published online by Cambridge University Press:  17 February 2009

John A. Dutton  and
Peter E. Kloeden
John A. Dutton
Affiliation:
Department of Meterology, The Pennylvania State University, University Park, Pennylvania 16802, U.S.A.
Peter E. Kloeden
Affiliation:
Department of Meterology, The Pennylvania State University, University Park, Pennylvania 16802, U.S.A.
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Abstract

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The solutions of the equations describing deep global convection on a rotating planet are discussed. The existence of generalized steady axisymmetric solutions is established. It is then shown that these are classical solutions when the heat source is sufficiently smooth. The solutions are shown to be unique when the heating is sufficiently weak and asymptotically stable when the shear is sufficiently small. Finally, the application of these results to Earth's atmosphere is discussed, with eddy viscosity replacing molecular viscosity.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 3 , January 1983 , pp. 318 - 338
Copyright
Copyright © Australian Mathematical Society 1983

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