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Pré-Publication, Document De Travail Année : 2016

Local existence and uniqueness of a transient state of a coupled radiative-conductive heat transfer problem

Résumé

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.
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Dates et versions

hal-01319895 , version 1 (23-05-2016)
hal-01319895 , version 2 (12-10-2016)

Identifiants

  • HAL Id : hal-01319895 , version 2

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Mohamed Ghattassi, Jean-Rodolphe Roche, Didier Schmitt. Local existence and uniqueness of a transient state of a coupled radiative-conductive heat transfer problem. 2016. ⟨hal-01319895v2⟩
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