Global solutions to the three-dimensional full compressible magnetohydrodynamic flows

Details Global solutions to the three-dimensional full compressible magnetohydrodynamic flows Global solutions to the three-dimensional full compressible magnetohydrodynamic flows

2008-04-29

arxiv.org/abs/0804.4510v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00220-008-0497-2

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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