Nonstationary complex heat transfer problem in a system of grey bodies with semitransparent inclusions

DOI10.1007/s10958-022-06135-wzbMath1501.35096OpenAlexW4307038667MaRDI QIDQ2094250

Andrey A. Amosov

Publication date: 28 October 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06135-w

zbMATH Keywords

complex radiative-conductive heat transferexponential integrability of the solutions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Stationary nonlinear nonlocal problem of radiative-conductive heat transfer in a system of opaque bodies with properties depending on the radiation frequency
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• Radiative transfer equation with diffuse reflection and refraction conditions in a system of bodies with piecewise smooth boundaries
• On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
• Unique solvability of a stationary radiative‐conductive heat transfer problem in a system consisting of an absolutely black body and several semitransparent bodies
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