Local existence and uniqueness of a transient state of a coupled radiative-conductive heat transfer problemReport as inadecuate




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1 CRAN - Centre de Recherche en Automatique de Nancy 2 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine

Abstract : This paper deals with local existence and uniqueness results for a transient nonlinear radiative-conductive system. This system describes the heat transfert for a gray, 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 Schauder fixed point theorem.





Author: Mohamed Ghattassi - Jean-Rodolphe Roche - Didier Schmitt -

Source: https://hal.archives-ouvertes.fr/



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