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On a relationship between magnetohydrodynamic planetary eigenmodes and second-class inertial elgenmodes

Published online by Cambridge University Press:  09 April 2009

J. A. Rickard
J. A. Rickard
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria, 3052
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Abstract

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Stewartson [5] considered second class oscillations in a spherical shell in the presence of a toroidal magnetic field. He followed Hide [2] and supposed the toroidal field to be uniform.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 2 , September 1974 , pp. 205 - 215
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Hide, R., Physics and Chemistry of the Earth (ed. Ahrens, et al. ) (1, Chapter 5, 91–137 (1956), London, (Pergamon Press)).Google Scholar
[2]Hide, R., ‘Free hydromagentic oscillations of the Earth's core and the Geomagnetic Secular Variation’, Phil. Trans. Roy. Soc. A 259 (1966), 615–650.Google Scholar
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[5]Stewartson, K., ‘Slow oscillations of fluid in a rotating cavity in the presence of a toroidal magnetic field’, Proc. Roy. Soc. A 299 (1967), 173–187.Google Scholar
[6]Stewartson, K. and Rickard, J. A., ‘Pathological oscillations of a rotating fluid’, J. Fluid Mech. 35 (1969), 759–773.CrossRefGoogle Scholar