Kinetic Theory Of Atoms And Photons: On The Solution To The Milne-Chandrasekhar Problem

A physical system of monochromatic photons interacting with gas-particles endowed with two internal energy levels is considered. A nonlinear transport problem for photons (the so-called Milne-Chandrasekhar problem) is then formulated, treating separately the stationary and the time-dependent case. For the former, an approximate analytical solution as well as existence and uniqueness results are obtained, while for the latter, the numerical results are provided together with their comparisons with those obtained by Chandrasekhar himself.