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Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows

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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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Authors and Affiliations

  1. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Xianpeng Hu & Dehua Wang

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  1. Xianpeng Hu
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  2. Dehua Wang
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Correspondence to Dehua Wang.

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Communicated by P. Constantin

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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

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