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

Milne problem for non-grey radiative transfer

J-F. Clouët 1, and  R. Sentis 1,

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.
Keywords: Non-linear half space problem., Milne Problem, Chandrasekhar function.
Mathematics Subject Classification: Primary: 35Q99; Secondary: 35F3.
Citation: J-F. Clouët, R. Sentis. Milne problem for non-grey radiative transfer. Kinetic & Related Models, 2009, 2 (2) : 345-362. doi: 10.3934/krm.2009.2.345
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