Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics (2010, methodology): “Engrg. journal homepage: www.elsevier .com/locate /cma A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics Chen Greif a, Dan Li a, Dominik Schötzau b,⇑, Xiaoxi Wei b a Department of Computer Science, University of British Columbia,…”
Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows (2008, methodology): “We also remark that, for the mathematical analysis of incompressible MHD equations, we refer the reader to the work [11] and the references cited therein; and for the related studies on the multidimensional compressible Navier-Stokes equations, we refer to [8, 9, 14, 22] and particularly [8, 9] for ”
Global well posedness for the Maxwell-Navier-Stokes system in 2D (2010, background): “In most MHD models (see for instance the textbooks [28,11,4,14]) this term is neglected either using the quasi-neutrality assumption or using the fact that it is much smaller than the two other terms.”