Existence and continuous dependence of large solutions for the magnetohydrodynamic equations

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Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows (2008, background): “There have been a lot of studies on magnetohydrodynamics by physicists and mathematicians because of its physical importance, complexity, rich phenomena, and mathematical challenges; see [3, 4, 6, 7, 10, 16, 15, 20, 25] and the references cited therein.”
Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations (2007, background): “To prove the existence of global weak solutions to (1.1)‐(1.7), one first mollifies the initial data, such that a global strong solution exists by [ 2 ], then one can take to the limit, and argue in the same manner as that used in the proof of the convergence part to show that the limit functions ar”
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows (2009, background): “2) 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.”