Behaviors of internal waves in a laterally bounded, uniformly or non-uniformly rotating fluids at Jones' critical level, where the Doppler-shifted wave frequency is equal to Coriolis frequency in magnitude are discussed.
The solution is essentially singular at Jones' critical level, if the α-plane approximation is applied, denying the existence of such a non-zero regular solution at this level as suggested by Lindzen (1970).
It is shown numerically that the wave is greatly attenuated and the zonal momentum flows into the mean zonal flow at this level. This opposes to a result by Lindzen (1970) that the attenuation of waves does not occur at this level for internal equatorial planetary-scale waves.
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