EKMAN LASER IN 3D-MODEL OF THE GEODYNAMO

The main subject of the paper is to resolve the Ekman layer analytical ly and to formulate an appropriate set of 3D-geodynamo equations. The equations are formulated in the mean field approximation where the mea n valves of magnetic field and velocity over azimuthal direction vanis h. The's approach should allow the numerical calculation to be perform ed for small Ekman numbers, down to 10(-12), which are usually conside red to be realistic in the geodynamo. The solution of the Ekman layer is also newly interpreted and consequently a new term appears in the u sual expression for the geostrophic shear. The viscous terms are negle cted in the main volume of the core and their leading role is assumed just in the thin Ekman layer. The inner core is not included in these considerations and no concrete calculations of a model are presented.