# American Institute of Mathematical Sciences

June  2009, 2(2): 345-362. doi: 10.3934/krm.2009.2.345

## Milne problem for non-grey radiative transfer

 1 CEA, DAM-DIF, 91297 Arpajon Cedex, France, France

Received  November 2008 Revised  February 2009 Published  May 2009

We study the non-linear Milne problem for radiative transfer equation: after proving the existence of a brightness temperature, we propose and evaluate different formulas for evaluating it. Numerical tests show that as much as 20% difference between surface temperature and brightness temperature may be exhibited. An analytical expression for the out-coming flux is also given.
Citation: J-F. Clouët, R. Sentis. Milne problem for non-grey radiative transfer. Kinetic and Related Models, 2009, 2 (2) : 345-362. doi: 10.3934/krm.2009.2.345
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