This report covers some aspects of the formulation of the stabilization problem by aerodynamic means. Results of experimental work are not included but are referred to in appropriate places. The classical solution for ambipolar diffusion in the positive column of the glow discharge must be extended to reflect the influence of current and pressure. The influence of current is given by the inclusion of appropriate energy equations and the pressure influence by the addition of two-body recombination. It was found that, from dimensional analysis, the characteristic lengths for ambipolar and heat diffusion for helium do not match. A re-formulation of the problem is thus necessary. The recombination term does not change the eigenvalue nature of the diffussion equation except at the stationary or local equilibrium limit. (Author)