Mathematical modeling of relative dynamics of the earth liquid and solid inner cores

On the base of the kinematical approach two-dimensional mathematical model of the Earth tidal deformations taking into account inner solid core is presented. A method of the least parameter for solving boundary value problems in this model is developed. Solving boundary value problems for the Stokes system in a biconnected domain a complex function method is used. The model describes the effect of the differential rotation of the Earth inner core.