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Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
This paper concerns the viscous and non-resistive MHD systems which govern the motion of electrically conducting fluids interacting with magnetic fields.We consider an initial-boundary value problem for both compressible and (nonhomogeneous and homogeneous) incompressible fluids in an infinite flat layer.We prove the global well-posedness of the systems around a uniform …