Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity

Wei Li, Zhaoyang Shang
2019 Boundary Value Problems  
This paper is concerned with global existence of large solutions to the initial-boundary value problem of the planar magnetohydrodynamic compressible flow. Under the assumptions that viscosity and heat conductivity coefficients are constants, magnetic diffusion is a function of the specific volume, we obtain the global existence of strong solutions. Some new methods are developed to deal with the complex interaction between the hydrodynamic and magnetodynamics effects.
doi:10.1186/s13661-019-1275-0 fatcat:cdczyh6eorhl7ec5fho724wrv4