Global existence of a strong solution to the planar radiative magnetohydrodynamic equations in the half-line

Abstract

The initial-boundary value problem of the planar radiative magnetohydrodynamic equations in the half-line was studied. We considered the Neumann boundary condition on the transverse magnetic field which was initially introduced by Kazhikhov in 1987. For the density-dependent viscosity and the degenerate heat-conductivity, we obtained the uniform upper and lower bounds of the density and the temperature, thus the global existence of a strong solution with large initial data to the magnetohydrodynamic system in the half-line was established.

Keywords

radiative MHD / density-dependent viscosity / degenerate heat-conductivity / global strong solution / half-line / Neumann boundary condition

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