Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem
arXiv:1902.00725 · doi:10.1016/j.camwa.2018.03.002
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.
16 pages