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Initial-value problems for Rossby waves in a shear flow with critical level

Published online by Cambridge University Press:  20 April 2006

Ka Kit Tung
Ka Kit Tung
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139
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Abstract

The time-dependent evolution of sheared Rossby waves starting from an initial disturbance is studied for the simple case in which the shear is uniform. The uniform-shear assumption allows explicit solutions to be obtained which are useful in addressing the issue of the long-time asymptotic approach to normal modes and in assessing the relative importance of viscosity, nonlinearity and time-dependence in the evolution of Rossby waves in the presence of critical layers.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 443 - 469
Copyright
© 1983 Cambridge University Press

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