Effect of overtaking disturbances on the propagation of spherical shock wave through self-gravitating gas (Q1894142)

Effect of overtaking disturbances on the propagation of a spherical shock wave in self-gravitating gas has been studied by the technique developed earlier by the first author. The analytical expressions for modified shock velocity and shock strength have been obtained for an initial density distribution \(\rho_0= \rho' r^{- w}\), where \(\rho'\) is the density at the axis of symmetry and \(w\) is a constant; simultaneously, for the two cases viz.; (i) when the shock is strong and (ii) when it is weak. Finally, the modified expressions for the pressure, the density and the particle velocity immediately behind the shock have also been derived from, for both cases.