Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions

DOI10.1016/j.cnsns.2017.10.004OpenAlexW2763914279MaRDI QIDQ2205773

Gleb V. Grenkin, Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Karl-Heinz Hoffmann

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.10.004

zbMATH Keywords

unique solvabilityradiative-conductive heat transferreflection and refraction effects

Mathematics Subject Classification ID

General and overarching topics; collections (00-XX)

Related Items (14)

Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions ⋮ Optimal control problems for complex heat transfer equations with Fresnel matching conditions ⋮ On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions ⋮ Inverse problem for equations of complex heat transfer with Fresnel matching conditions ⋮ Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ Inverse problems for the diffusion-drift model of charging of an inhomogeneous polar dielectric ⋮ Optimal control of quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ Problem of radiation heat exchange with boundary conditions of the Cauchy type ⋮ 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 ⋮ An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions ⋮ Optimal control of the radiation heat exchange equations for multi-component media ⋮ Analysis of an optimization method for solving the problem of complex heat transfer with Cauchy boundary conditions

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