A GALERKIN METHOD FOR TIME-DEPENDENT MHD FLOW WITH NONIDEAL BOUNDARIES

A novel formulation is given for the equations of viscous incompressible magne- tohydrodynamics with realistic (\nonideal") boundary conditions that account for the ∞uid's interaction with the outside world. The global-in-time existence of weak solutions is estab- lished via the Galerkin method. AMS (MOS) Subject Classiflcation. 76W05, 35Q30, 35Q60, 65M60