Global Well-Posedness of a 3D MHD Model in Porous Media
classification
🧮 math.AP
physics.flu-dyn
keywords
mediaporousequationsglobalmodelwell-posednessbrinkman-forcheimer-extended-darcyclassical
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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-Forcheimer-extended-Darcy" law of flow in porous media.
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