Unique solvability of a stationary radiative‐conductive heat transfer problem in a system consisting of an absolutely black body and several semitransparent bodies

DOI10.1002/MMA.7439zbMath1479.35300OpenAlexW3163297043MaRDI QIDQ4959221

Publication date: 10 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7439

zbMATH Keywords

comparison theorem unique solvability radiative-conductive heat transfer stationary boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)

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Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ Optimal control of quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ The problem of complex heat transfer with Cauchy-type conditions on a part of the boundary ⋮ Nonstationary radiative–conductive heat transfer problem in an absolutely black body with semitransparent inclusions ⋮ Nonstationary complex heat transfer problem in a system of grey bodies with semitransparent inclusions

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