Stability of shock waves of arbitrary strength with viscosity and heat conduction

The problem of the stability of shock waves with viscosity and heat conduction has been previously formulated as an eigenvalue problem involving a set of linear ordinary differential equations in a finite domain with what are shown to be regular singular points at the ends of the domain. By means of a computer-aided Frobenius type of analysis, it is shown that the (continuous) eigenvalue spectrum is such that the shock waves will be stable for all values of the shock-strength parameter. Some actual solutions of the disturbance equations are shown.