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On waves in a thin rotating spherical shell of slightly viscous fluid

Published online by Cambridge University Press:  26 February 2010

I. C. Walton
I. C. Walton
Affiliation:
Department of Mathematics, Imperial College, London..
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Abstract

Stewartson and Rickard [1] have shown that Rossby waves in thin spherical shells of an inviscid fluid contain singularities at the critical circles. These may be removed by introducing another wave containing square-root singularities in the velocity on the characteristics which by reflection touch the inner boundary at the critical circles. Stewartson and Walton [2] continued this wave all round the shell and showed it to be an inertial wave. Here we consider the effect of a weak kinematic viscosity v on these waves.

Type
Research Article
Information
Mathematika , Volume 22 , Issue 1 , June 1975 , pp. 46 - 59
Copyright
Copyright © University College London 1975

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