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arXiv · 0804.4510

Global solutions to the three-dimensional full compressible magnetohydrodynamic flows

Xianpeng Hu·Dehua Wang
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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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Xianpeng Hu, Dehua Wang. 2008-04-29. Global solutions to the three-dimensional full compressible magnetohydrodynamic flows. https://doi.org/10.1007/s00220-008-0497-2

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