1. In the Journal of Rational Mechanics and Analysis, Vol. 5, pp. 1-128, 1956, Ikenberry and Truesdell present a rigorous mathematical anatysis of the erroneous behavior of the Burnett expansion method and the Grad "13-moment" approximation. Truesdell shows, by comparison with the exact solution for a simple shearing flow defined by ux/y = constant, that the Maxwellian iteration process only converges for ixux/py < V 2 / 3 . Also, by comparison with a mathematical model simulating the exact equations of motion for a Maxwellian molecule, Truesdell indicates that in general no universal formulas, valid for all initial or boundary conditions, can result beyond the Navier-Stokes order of approximation and that in a specific case the Navier-Stokes equations more closely approximate the true asymptotic solution than does any finite sum of higher order approximations.
2. Lamb, H., Hydrodynamics, 6th Ed., pp.571-581, 645.Cambridge Univ. Press, Cambridge, England, 1932.
3. Stokes, G. G., Mathematical and Physical Papers, Vol.I, pp.78-93, 116-120, 182-185, Vol. I l l , pp. 69-71, p. 136,Cambridge Univ. Press, Cambridge, England, 1880.