Nonlinear and dispersive effects in Kelvin waves
- 1 February 1990
- journal article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 2 (2) , 189-193
- https://doi.org/10.1063/1.857768
Abstract
Recent laboratory and field observations suggest that the effects of nonlinearity and dispersion may be significant for the evolution of Kelvin waves in rotating channels. Here, it is shown that a pair of Kelvin wave modes may interact with a third Poincaré mode to form a resonant triad. The evolution of the triad is governed by the well‐known three‐wave interaction equations. The implications of this instability for naturally occurring Kelvin waves are discussed.Keywords
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