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

2018/05/27 by Titi, Edriss S., Trabelsi, Saber · 1 citation
#35Q30 #35Q35 #76B03 #76B75 #76S05 #76W05 #93C10 #93C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)

paper · doi:10.48550/arxiv.1805.10661

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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