Unique solvability of a stationary radiative–conductive heat transfer problem in a semitransparent body with absolutely black inclusions

被引：0
作者：
Andrey Amosov
机构：
[1] National Research University “Moscow Power Engineering Institute”,Department of Mathematical and Computer Modelling
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
Unique solvability; Nonlinear boundary value problem; Comparison theorem; Radiative–conductive heat transfer problem; Absolutely black body; Semitransparent material; Radiative transfer equation; 35A01; 35A02; 35B51; 35D30; 35Q79;
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摘要：
We consider a stationary boundary value problem describing a radiative–conductive heat transfer in a semitransparent body with absolutely black inclusions. To describe the radiative transfer, the integro-differential radiative transfer equation is used. We do not take into account the dependence of the radiation intensity and the properties of semitransparent materials on the radiation frequency. We proved at the first time the unique solvability of this problem. Besides, we proved the comparison theorems and established the results on improving the properties of solutions with increasing exponents of data summability.
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