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JOURNALS
// Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
// Archive
Zh. Vychisl. Mat. Mat. Fiz.,
2018
Volume 58,
Number 9,
Pages
1472–1477
(Mi zvmmf10782)
This article is cited in
4
papers
Stability of stationary solutions of the radiative heat transfer equations
G. V. Grenkin
a
,
A. Yu. Chebotarev
b
a
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
b
Far Eastern Federal University, Vladivostok, Russia
Abstract:
A model of complex heat transfer, including the
$P_1$
-approximation for the radiative transfer equation, is considered. The asymptotic stability of the steady states without requiring the smallness of the initial perturbations is proven.
Key words:
radiative heat transfer, diffusion approximation, asymptotic stability.
UDC:
519.63
Received:
17.08.2017
Revised:
03.05.2018
DOI:
10.31857/S004446690002526-9
References
Cited by
English version:
Computational Mathematics and Mathematical Physics, 2018,
58
:9,
1420–1425
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
References