Existence and uniqueness of a transient state for the coupled radiative-conductive heat transfer problem

DOI10.1016/j.camwa.2018.03.002zbMath1419.80005arXiv1902.00725OpenAlexW2796528256MaRDI QIDQ2001273

Didier Schmitt, Mohamed Ghattassi, Jean Rodolphe Roche

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00725

zbMATH Keywords

Banach fixed point theoremexistence-uniqueness resultnonlinear radiative-conductive heat transfer systemsemi-transparent medium

Mathematics Subject Classification ID

Related Items (8)

On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions ⋮ Analysis of a full discretization scheme for \(2D\) radiative-conductive heat transfer systems ⋮ Reduced Order Observer of Finite Dimensional Radiative-Conductive Heat Transfer Systems ⋮ Diffusion asymptotics of a coupled model for radiative transfer in a unit disk ⋮ 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 ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions ⋮ On the null-controllability of a radiative heat transfer system

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