Parker Problem in Hall Magnetohydrodynamics

Abstract

Parker problem in Hall magnetohydrodynamics (MHD) is considered. Poloidal shear into the toroidal flow generated by the Hall effect is incorporated. This is found to lead to a {\it triple deck} structure for the Parker problem in Hall MHD, with the magnetic field falling off in the intermediate Hall-resistive region more steeply (like \normalfont $1/x^3$) than that (like \normalfont$1/x$) in the outer ideal MHD region.