Nonstationary Radiative–Conductive Heat Transfer Problem in a Semitransparent Body with Absolutely Black Inclusions

Andrey Amosov
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Andrey Amosov: Department of Mathematical and Computer Modelling, National Research University “Moscow Power Engineering Institute”, 111250 Krasnokazarmennay St. 14, 111250 Moscow, Russia

Mathematics, 2021, vol. 9, issue 13, 1-30

Abstract: The paper is devoted to a nonstationary initial–boundary value problem governing complex heat exchange in a convex semitransparent body containing several absolutely black inclusions. The existence and uniqueness of a weak solution to this problem are proven herein. In addition, the stability of solutions with respect to data, a comparison theorem and the results of improving the properties of solutions with an increase in the summability of the data were established. All results are global in terms of time and data.

Keywords: radiative–conductive heat transfer problem; radiative transfer equation; nonlinear initial–boundary value problem; stability of solutions with respect to data; comparison theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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