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arXiv · 1805.10661

Global Well-Posedness of a 3D MHD Model in Porous Media

Edriss S. Titi·Saber Trabelsi
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Abstract

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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Edriss S. Titi, Saber Trabelsi. 2018-06-06. Global Well-Posedness of a 3D MHD Model in Porous Media. https://arxiv.org/abs/1805.10661

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