to the incompressible Navier-Stokes equations. Part III deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analysed, and finally rotating Navier-Stokes

equations between two plates are studied, both in the case of periodic horizontal coordinates and those in R². In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open. - ;...recommended...providing an excellent overview of the technical aspects of Navier-Stokes analysis [and] the physical effects...of rotating flows. - Fluid Mechanics, Volume 585  less