  It is well known that, for fast rotating fluids with the axis of rotation
being perpendicular to the boundary, the boundary layer is of Ekman-type,
described by a linear ODE system. In this paper we consider fast rotating
fluids, with the axis of rotation being parallel to the boundary. We show that
the corresponding boundary layer is describe by a nonlinear, degenerated PDE
system which is similar to the 2-D Prandtl system. Finally, we prove the
well-posedness of the governing system of the boundary layer in the space of
analytic functions with respect to tangential variable.
