Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations (Q2013154)

This paper considers the initial boundary value problem for planar compressible Hall-magneto-hydrodynamic equations. For the general initial data, the global existence, uniqueness and exponential stability are proved for a class of strong solution, by energy arguments. The key ingredient is the deduce of the uniform pointwise lower and upper bounds of the density.