Stability of stationary solutions of the radiative heat transfer equations

DOI10.1134/S0965542518090087zbMath1409.35029OpenAlexW2895994135MaRDI QIDQ1757627

Gleb V. Grenkin, Alexander Yu. Chebotarev

Publication date: 15 January 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518090087

zbMATH Keywords

diffusion approximationasymptotic stabilityelliptic-parabolic systemcomplex heat transfer

Mathematics Subject Classification ID

Stability in context of PDEs (35B35)

Related Items

Inhomogeneous boundary value problem for complex heat transfer equations with Fresnel matching conditions ⋮ Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions

Cites Work

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• Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation
• Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
• Unique solvability of a steady-state complex heat transfer model
• Nonstationary problem of free convection with radiative heat transfer
• A nonhomogeneous nonstationary complex heat tranfer problem
• A nonhomogeneous nonstationary complex heat tranfer problem
• Inhomogeneous steady-state problem of complex heat transfer

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