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

  • Author(s): Titi, Edriss S
  • Trabelsi, Saber
  • et al.
Creative Commons Attribution 4.0 International Public License
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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