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arXiv · 1902.00725

Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem

Mohamed Ghattassi·Jean Rodolphe Roche·Didier Schmitt
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Abstract

This paper deals with existence and uniqueness results for a transient nonlinear radiative-conductive system in three-dimensional case. This system describes the heat transfer for a grey, semi-transparent and non-scattering medium with general boundary conditions. We reformulate the full transient state system as a fixed-point problem. The existence and uniqueness proof is based on Banach fixed point theorem.

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Mohamed Ghattassi, Jean Rodolphe Roche, Didier Schmitt. 2019-02-02. Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem. https://doi.org/10.1016/j.camwa.2018.03.002

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