Unique solvability of the stationary complex heat transfer problem in a system of grey bodies with semitransparent inclusions

DOI10.1007/s10958-021-05379-2zbMath1472.35074OpenAlexW3162461670MaRDI QIDQ2027454

Andrey A. Amosov

Publication date: 27 May 2021

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

Full work available at URL: https://doi.org/10.1007/s10958-021-05379-2

zbMATH Keywords

exponential summability and boundedness

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

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

Cites Work

• Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries
• Solvability of the radiative heat-transfer problem in accordance with the Stefan-Boltzmann law
• Stationary nonlinear nonlocal problem of radiative-conductive heat transfer in a system of opaque bodies with properties depending on the radiation frequency
• Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation
• Unique solvability of stationary radiative-conductive heat transfer problem in a system of semitransparent bodies
• Radiative transfer equation with diffuse reflection and refraction conditions in a system of bodies with piecewise smooth boundaries

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