Nonlinear analysis of the generalized thermo-magnetodynamic problem

The results reported in this paper were obtained in the course of an investigation of a simple model problem of global geodynamics and magnetic field of the planet Uranus. The problem leads to an initial-boundary value problem for a coupled system of equations of magnetodynamics of an incompressible, electrically conducting, thermo-viscous and ferromagnetic Binghamʹs fluid. The variational formulation of the problem and the existence and uniqueness theorem will be given.