Paul T.  

On the propagation of oceanic waves driven by a macroscopic current

We study oceanic waves in a shallow water
ow subject to strong wind forcing and rotation, and linearized around a
inhomogeneous (non zonal) stationary prole. This extends an eralier the
study, where the prole was assumed to be zonal only and where
explicit calculations were made possible due to the 1D setting.
Here the diagonalization of the system, which allows to identify Rossby and
Poincare waves, is proved by an abstract semi-classical approach based on
normal forms. The dispersion of Poincare waves is also obtained by a
more abstract and more robust method using Mourre estimates.

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