Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem
Analysis of PDEs
2019-02-05 v1
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.
Keywords
Cite
@article{arxiv.1902.00725,
title = {Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem},
author = {Mohamed Ghattassi and Jean Rodolphe Roche and Didier Schmitt},
journal= {arXiv preprint arXiv:1902.00725},
year = {2019}
}
Comments
16 pages