GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE PLANAR COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH LARGE INITIAL DATA IN UNBOUNDED DOMAINS

In one-dimensional unbounded domains, we consider the equations of a planar compressible magnetohydrodynamic flow with constant viscosity and heat conductivity. More precisely, we prove the global existence of strong solutions to the magnetohydrodynamic equations with large initial data satisfying the same conditions as those of Kazhikhov's theory in bounded domains [Kazhikhov, Boundary Value Problems for Equations of Mathematical Physics (Krasnoyarsk), 1987]. In particular, our result generalizes the Kazhikhov's theory for the initial boundary value problem in bounded domains to the problem in unbounded domains.