| Issue |
ESAIM: M2AN
Volume 51, Number 6, November-December 2017
|
|
|---|---|---|
| Page(s) | 2511 - 2519 | |
| DOI | https://doi.org/10.1051/m2an/2017042 | |
| Published online | 18 December 2017 | |
Inhomogeneous steady-state problem of complex heat transfer∗
1 Far Eastern Federal University, Sukhanova st. 8, 690950, Vladivostok, Russia.
cheb@iam.dvo.ru; glebgrenkin@gmail.com; kovtanyuk.ae@dvfu.ru
2 Institute for Applied Mathematics FEB RAS, Radio st. 7, 690041, Vladivostok, Russia.
Received: 31 March 2016
Revised: 23 March 2017
Accepted: 21 August 2017
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.
Mathematics Subject Classification: 35J65 / 80A20
Key words: Radiative heat transfer / diffusion approximation / unique solvability / Lyapunov stability
© EDP Sciences, SMAI 2017
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