Milne problem for non-grey radiative transfer

J-F. Clouët; R. Sentis

doi:10.3934/krm.2009.2.345

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2009, Volume 2, Issue 2: 345-362. Doi: 10.3934/krm.2009.2.345

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Milne problem for non-grey radiative transfer

J-F. Clouët^1, and
R. Sentis^1,

1.
CEA, DAM-DIF, 91297 Arpajon Cedex

Received: October 31, 2008

Revised: January 31, 2009

Published: May 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35Q99; Secondary: 35F30.

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