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The Limit Behavior of Solutions to the Radiative Transfer Equation in a System of Semitransparent Bodies as the Absorption and Scattering Coefficients Tend to Infinity

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We consider the boundary value problem describing radiative transfer in a system of semitransparent bodies with the diffuse reflection and diffuse refraction conditions. Under the assumption that the absorption and scattering coefficients tend to infinity, we study the limit behavior of the solutions.

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References

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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 Analiza 125, 2023, pp. 5-16.

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Amosov, A.A. The Limit Behavior of Solutions to the Radiative Transfer Equation in a System of Semitransparent Bodies as the Absorption and Scattering Coefficients Tend to Infinity. J Math Sci 276, 1–14 (2023). https://doi.org/10.1007/s10958-023-06721-6

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  • DOI: https://doi.org/10.1007/s10958-023-06721-6

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