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Milne problem for non-grey radiative transfer

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


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