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Unique Solvability of the Stationary Complex Heat Transfer Problem in a System of Grey Bodies with Semitransparent Inclusions

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We establish the unique solvability of a radiative-conductive heat transfer problem in a system of grey bodies with semitransparent inclusions and prove the comparison theorem. We show that higher summability of the data improves the properties (exponential summability and boundedness) of the solution.

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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 108, 2021, pp. 3-33.

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Amosov, A.A. Unique Solvability of the Stationary Complex Heat Transfer Problem in a System of Grey Bodies with Semitransparent Inclusions. J Math Sci 255, 353–387 (2021). https://doi.org/10.1007/s10958-021-05379-2

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  • DOI: https://doi.org/10.1007/s10958-021-05379-2

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