Abstract
The one-dimensional BGK model for a Boltzmann gas is studied by linearizing about a drifting Maxwellian. This linearized BGK model is then expressed as an operator differential equation whose unique solution is given by a contour integral of the resolvent of the relevant transport operator. The Wiener-Hopf factorization of the dispersion function for the problem is employed to show that the unique solution to the differential equation exists only for subsonic drift velocities.
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