We construct semidiscrete and asymptotic approximations to the problem of complex (radiative-conductive) heat transfer in a system of grey heat-conductive rods with square cross-section separated by vacuum layers and packed in a square box. We obtain error estimates of order \(O\left(\sqrt{\varepsilon /\lambda }\right)\) and \(O\left(\sqrt{\varepsilon /\lambda }+\sqrt{\varepsilon }\right)\), where ε is the length of the rod cross-section side and λ is the heat conductivity.
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Dedicated to Nina Nikolaevna Uraltseva
Translated from Problemy Matematicheskogo Analiza 127, 2024, pp. 29-57.
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Amosov, A.A., Krymov, N.E. Semidiscrete and Asymptotic Approximations of the Nonstationary Complex Heat Transfer Problem in a System of Grey Square Rods. J Math Sci 281, 502–536 (2024). https://doi.org/10.1007/s10958-024-07132-x
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DOI: https://doi.org/10.1007/s10958-024-07132-x