Geodesic
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

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An inhomogeneous steady-state problem of radiative-conductive heat transfer in a three-dimensional domain is studied in the framework of the P 1 approximation of the nonlinear complex heat transfer model. The unique solvability of the problem is proved. The Lyapunov stability of solutions is shown.

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DOI : 10.1051/m2an/2017042
Classification : 35J65, 80A20
Keywords: 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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     title = {Inhomogeneous steady-state problem of complex heat transfer},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {2511--2519},
     publisher = {EDP-Sciences},
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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

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