Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vaccum

Abstract

This paper considers the initial boundary problem to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. The global existence and uniqueness of large strong solutions are established when the heat conductivity coefficient $\kappa (\theta )$ satisfies \begin{equation*} C_{1}(1+θ^q)\leq κ(θ)\leq C_2(1+θ^q) \end{equation*} for some constants $q>0$, and $C_1,C_2>0$.

19pages,some typos are corrected

References in corpus (3)

• Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows
• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
• Global Classical Large Solutions to Navier-Stokes Equations for Viscous Compressible and Heat Conducting Fluids with Vacuum

Cited by in corpus (2)

• Global Strong Solutions to Magnetohydrodynamics with Density-Dependent Viscosity and Degenerate Heat-Conductivity
• On the Global Strong Solutions to Magnetohydrodynamics with Density-Dependent Viscosity and Degenerate Heat-Conductivity in Unbounded Domains