Kinetic Theory of Atoms and Photons: An Application to the Milne–Chandrasekhar Problem
نویسندگان
چکیده
We consider a kinetic model describing the interactions between monochromatic photons and gas–particles with two internal energy levels. Using the moment equations we formulate so–called Milne–Chandrasekhar problem. Next, we provide the existence and uniqueness theorems for the resulting system of partial differential equations. Mathematics Subject Classification. 76N15, 82C40, 82C70
منابع مشابه
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...
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