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2.1 Model Equations for a Barotropic Ocean

The derivation of model equations for the barotropic and baroclinic components of a hydrostatic ocean, from the Navier--Stokes equations for incompressible flow on a rotating Earth, will be given in an appendix in the next release of this chapter. Here we will only present them in Cartesian coordinates and with constant friction coefficients to simplify the arithmetical text.