Geodesic
The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 3, pp. 424-443 Cet article a éte moissonné depuis la source Math-Net.Ru

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The asymptotic analysis of the system of equations derived in previous paper is given. This system is equivalent to initial radiation transfer equation but convenient for effective solution in the case of the optically thick layer with general linear boundary conditions of reflection and transition. The obtained asymptotic expressions let us find the explicit form of reflection and transition laws for diffusive radiation in each given situation. The space distribution of radiation intensiveness inside and near the boundaries of the optically thick layer is investigated too. 
@article{TMF_1994_100_3_a9,
     author = {V. S. Potapov},
     title = {The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {424--443},
     year = {1994},
     volume = {100},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_3_a9/}
}
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V. S. Potapov. The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 3, pp. 424-443. http://geodesic.mathdoc.fr/item/TMF_1994_100_3_a9/

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