Analytical study of self-similar motion following shock waves in magnetized, non-ideal, self-gravitating gas with variable density

This paper investigates the evolution of a blast wave propagating through a self-gravitating, non-ideal gaseous medium subjected to an azimuthal magnetic influence. A power series approach is applied to formulate approximate solutions for the primary flow quantities, utilizing Sakurai's analytical technique. The study presents both zeroth- and first-order approximations, including explicit expressions for the zeroth-order terms. To examine the nature of the resulting flow structure across the shock boundary, graphical analyses are conducted for key variables such as density, velocity, pressure, magnetic influence, and mass distribution, based on the zeroth-order profiles.