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Global well-posedness of a 3D MHD model in porous media


In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum equations due to the "Brinkman-Forcheimerextended-Darcy" law of ow in porous media.

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