Abstract
The equations of the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows are considered in a bounded domain. The viscosity coefficients and heat conductivity can depend on the temperature. A solution to the initial-boundary value problem is constructed through an approximation scheme and a weak convergence method. The existence of a global variational weak solution to the three-dimensional full magnetohydrodynamic equations with large data is established.
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Hu, X., Wang, D. Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows. Commun. Math. Phys. 283, 255–284 (2008). https://doi.org/10.1007/s00220-008-0497-2
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DOI: https://doi.org/10.1007/s00220-008-0497-2