An inhomogeneous steady-state problem of radiative-conductive heat transfer in a three-dimensional domain is studied in the framework of the P approximation of the nonlinear complex heat transfer model. The unique solvability of the problem is proved. The Lyapunov stability of solutions is shown.
Accepté le :
DOI : 10.1051/m2an/2017042
Mots-clés : Radiative heat transfer, diffusion approximation, unique solvability, Lyapunov stability
@article{M2AN_2017__51_6_2511_0, author = {Chebotarev, Alexander Yu. and Grenkin, Gleb V. and Kovtanyuk, Andrey E.}, title = {Inhomogeneous steady-state problem of complex heat transfer}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {2511--2519}, publisher = {EDP-Sciences}, volume = {51}, number = {6}, year = {2017}, doi = {10.1051/m2an/2017042}, mrnumber = {3745180}, zbl = {1387.35122}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/m2an/2017042/} }
TY - JOUR AU - Chebotarev, Alexander Yu. AU - Grenkin, Gleb V. AU - Kovtanyuk, Andrey E. TI - Inhomogeneous steady-state problem of complex heat transfer JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2017 SP - 2511 EP - 2519 VL - 51 IS - 6 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an/2017042/ DO - 10.1051/m2an/2017042 LA - en ID - M2AN_2017__51_6_2511_0 ER -
%0 Journal Article %A Chebotarev, Alexander Yu. %A Grenkin, Gleb V. %A Kovtanyuk, Andrey E. %T Inhomogeneous steady-state problem of complex heat transfer %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2017 %P 2511-2519 %V 51 %N 6 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an/2017042/ %R 10.1051/m2an/2017042 %G en %F M2AN_2017__51_6_2511_0
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. http://archive.numdam.org/articles/10.1051/m2an/2017042/
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