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Explosive resonant triads in a continuously stratified shear flow

Published online by Cambridge University Press:  26 April 2006

Janet M. Becker  and
Roger H. J. Grimshaw
Janet M. Becker
Affiliation:
Physical Oceanography Research Division, University of California, San Diego, La Jolla, CA 92093-0230, USA
Roger H. J. Grimshaw
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia
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Abstract

A variational formulation for three-dimensional waves in a continuously stratified shear flow is used to derive the equations governing a resonant triad of waves. It is argued that in general, critical layers are necessary for the existence of explosive resonant triads.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 257 , December 1993 , pp. 219 - 228
Copyright
© 1993 Cambridge University Press

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