On the bottom relief effect on wind-driven currents in a homogeneous ocean

The three-dimensional model of stationary wind-driven currents in a homogeneous ocean of a variable depth is investigated. The model is linear but includes horizontal and vertical turbulent mixings. Two cases of the behaviour of the isolines of the function $\text{?/H}$ are considered, namely: (1) all isolines $\text{?/H}$ start at one part of the coastline and end in another part of it, and (2) a certain isoline $\text{?/H}$ exists which is tangential to the coastline. Here ? is the Coriolis parameter, and H is the depth of the ocean. The first case is the simplest one; it arises in particular if H = constant and the coasts are meridional. The second case is marked by the boundary current separation from the coast. The paper deals with the boundary layers which arise at the surface, bottom, side boundary and inside the ocean.