Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data

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Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations (2007, result): “A similar result is obtained in [ 3 ] for real gases and the existence of globally defined weak solutions is also studied under the same technical condition as (1.8), while the uniqueness of the weak solutions with Lebesgue initial data is given by the authors in [5] under the technical condition up”
Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows (2008, background): “In particular, the one-dimensional problem has been studied in many papers, for examples, [ 3 , 4, 7, 15, 18, 23, 25] and so on. However, many fundamental problems for MHD are still open.”
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows (2009, background): “There have been a lot of studies on MHD by physicists and mathematicians because of its physical importance, complexity, rich phenomena, and mathematical challenges; see [ 3 , 4, 5, 7, 12, 15, 19, 25] and the references cited therein.”