Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
arXiv:0804.4510 · doi:10.1007/s00220-008-0497-2
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.