Construction of the model transport equation of massless Bose gas and its analytic solution

A model kinetic transport equation for the massless Bose gas is constructed. The application of this equation to the problem of the radiation transport in a semispace dispersible medium being in local thermal equilibrium with radiation is considered. It is shown that the temperature jump between the temperature of a dispersible medium and the temperature of falling radiation essentially depends on scattering properties of particles of the dispersible medium.