Abstract
We establish an initial-boundary value problem for the compressible magnetohydrodynamic equations in one space dimension with large initial data when the heat conductivity is some positive power of the temperature. We prove that as the shear viscosity vanishes, global weak solutions convergence to a solution of the original equations with zero shear viscosity.
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Wang, T. Vanishing shear viscosity in the magnetohydrodynamic equations with temperature-dependent heat conductivity. Z. Angew. Math. Phys. 66, 3299–3307 (2015). https://doi.org/10.1007/s00033-015-0579-x
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DOI: https://doi.org/10.1007/s00033-015-0579-x