Some effects of a mean zonal thermocline gradient on planetary equatorial waves

Physics

Scientific paper

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Scientific paper

Planetary equatorial waves are studied with the shallow water equations in the presence of a mean zonal thermocline gradient. The interactions between this gradient and waves are represented by three non-linear terms in the equations: one in the wind-forcing formulation in the x-momentum equation, and two for the advection of mass and divergence of the velocity field in the continuity equation. When the mean gradient is imposed but small, these three (linearized) terms will perturb the behaviour of the equatorial waves. This paper gives a simple analytic treatment of this problem.

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