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On waves in a thin rotating spherical shell of slightly viscous fluid
Author(s) -
Walton I. C.
Publication year - 1975
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300004496
Subject(s) - inviscid flow , mathematics , gravitational singularity , inertial wave , spherical shell , shell (structure) , boundary (topology) , viscosity , reflection (computer programming) , classical mechanics , mathematical analysis , geometry , wave propagation , longitudinal wave , mechanical wave , physics , optics , thermodynamics , materials science , computer science , composite material , programming language
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.