Analytic solution of the problem of heat slip of a rarefied gas along a hard flat surface

The analytic solution of the BGK (Bhatnagar, Gross, Krook) models of the Boltzmann kinetic equation in the problem on thermal heat slip of a rarefied gas along a hard flat surface is constructed. As boundary conditions on a wall the mirror-diffuse reflection model is used. For different values of the coefficient of diffusely the speed of thermal slip along the surface and distribution of the gas velocity and the vector of heat flow in the Knudsen layer are obtained. The comparison with similar results, published in the open press is done.