Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients.

We consider the planar compressible magnetohydrodynamics (MHD) system for a viscous and heat-conducting ideal polytropic gas, when the viscosity, magnetic diffusion and heat conductivity depend on the specific volume v and the temperature 𝜃. For technical reasons, the viscosity coefficients, magnetic diffusion and heat conductivity are assumed to be proportional to h (v) 𝜃 α where h (v) is a non-degenerate and smooth function satisfying some natural conditions. We prove the existence and uniqueness of the global-in-time classical solution to the initial-boundary value problem when general large initial data are prescribed and the exponent | α | is sufficiently small. A similar result is also established for planar Hall-MHD equations. [ABSTRACT FROM AUTHOR]