Inhomogeneous steady-state problem of complex heat transfer
Chebotarev, Alexander Yu.1, 2 ; Grenkin, Gleb V.1, 2 ; Kovtanyuk, Andrey E.1, 2
1 Far Eastern Federal University, Sukhanova st. 8, 690950, Vladivostok, Russia.
2 Institute for Applied Mathematics FEB RAS, Radio st. 7, 690041, Vladivostok, Russia.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2511-2519.

An inhomogeneous steady-state problem of radiative-conductive heat transfer in a three-dimensional domain is studied in the framework of the P1 approximation of the nonlinear complex heat transfer model. The unique solvability of the problem is proved. The Lyapunov stability of solutions is shown.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2017042
Classification : 35J65, 80A20
Mots-clés : Radiative heat transfer, diffusion approximation, unique solvability, Lyapunov stability
Chebotarev, Alexander Yu. 1, 2 ; Grenkin, Gleb V. 1, 2 ; Kovtanyuk, Andrey E. 1, 2

1 Far Eastern Federal University, Sukhanova st. 8, 690950, Vladivostok, Russia.
2 Institute for Applied Mathematics FEB RAS, Radio st. 7, 690041, Vladivostok, Russia. 
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Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E. Inhomogeneous steady-state problem of complex heat transfer. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2511-2519. doi : 10.1051/m2an/2017042. https://www.numdam.org/articles/10.1051/m2an/2017042/

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