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Boundary Value Problem for the Radiative Transfer Equation with Non-Lambert Diffuse Reflection and Diffuse Refraction Conditions

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We study the boundary value problem describing the stationary process of monochromatic radiative transfer in a system of semitransparent three-dimensional bodies Gj with the non-Lambert diffuse reflection and refraction conditions on boundaries of the bodies. We establish the unique solvability of the problem with data in the complete scale of Lebesgue spaces and prove estimates for the solutions.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., Moscow, 111250, Russia

    A. A. Amosov

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  1. A. A. Amosov
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Correspondence to A. A. Amosov.

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Translated from Problemy Matematicheskogo Analiza102, 2020, pp. 13-31.

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Amosov, A.A. Boundary Value Problem for the Radiative Transfer Equation with Non-Lambert Diffuse Reflection and Diffuse Refraction Conditions. J Math Sci 247, 769–790 (2020). https://doi.org/10.1007/s10958-020-04838-6

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  • DOI: https://doi.org/10.1007/s10958-020-04838-6

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