Abstract
Under study is the Cauchy problemfor the nonstationary radiative transfer equation with generalized matching conditions that describes the diffuse reflection and refraction on the interface. The solvability of the initial-boundary value problem is proved. Some stabilization conditions for the nonstationary solution are obtained.
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Original Russian Text © I.V. Prokhorov, A.A. Sushchenko, A. Kim, 2017, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2017, Vol. XX, No. 1, pp. 75–85.
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Prokhorov, I.V., Sushchenko, A.A. & Kim, A. Initial boundary value problem for the radiative transfer equation with diffusion matching conditions. J. Appl. Ind. Math. 11, 115–124 (2017). https://doi.org/10.1134/S1990478917010136
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DOI: https://doi.org/10.1134/S1990478917010136