Analytic solution of the problem of a thermal creep

Within the kinetic approach limits the analytic solution of the thermal creep flow problem in the form of Neumann's series is contracted. As the basic equation it is used the linearize BGK (Bhatnagar, Gross, Krook) model of Boltzmann kinetic equation, and as a boundary condition on walls of the channel - the model of mirror-diffusion reflections. For various values of thickness of the channel and factor of accommodation of a tangential impulse of molecules of gas by the walls of the channel values of streams of weight of gas and heat falling unit of width of the channel are calculated. Comparison with the similar results published in an open press is lead.