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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 9, Pages 1472–1477
DOI: https://doi.org/10.31857/S004446690002526-9 (Mi zvmmf10782) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Stability of stationary solutions of the radiative heat transfer equations

G. V. Grenkina, A. Yu. Chebotarevb

a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
b Far Eastern Federal University, Vladivostok, Russia
Citations (4)
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DOI: https://doi.org/10.31857/S004446690002526-9
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI58417X0031
Received: 17.08.2017
Revised: 03.05.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 9, Pages 1420–1425
DOI: https://doi.org/10.1134/S0965542518090087
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “Stability of stationary solutions of the radiative heat transfer equations”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1472–1477; Comput. Math. Math. Phys., 58:9 (2018), 1420–1425
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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