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Dal'nevostochnyi Matematicheskii Zhurnal, 2014, Volume 14, Number 1, Pages 18–32 (Mi dvmg269)  
This article is cited in 8 scientific papers (total in 8 papers)

The stability of steady-state solutions of the diffusion complex heat transfer model

G. V. Grenkina, A. Yu. Chebotarevb

a Far Eastern Federal University, Vladivostok
b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
Full-text PDF (308 kB) Citations (8)
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Abstract: The nonstationary model of radiative-convective-conductive heat transfer in a three-dimensional domain within the diffusion $P_1$ approximation of radiative transfer is considered. The sufficient conditions of asymptotic stability of steady states are established.
Key words: radiative heat transfer equations, diffusion approximation, nonlocal solvability, asymptotic stability.
Received: 03.03.2014
Document Type: Article
UDC: 517.95
MSC: Primary 35K55; Secondary 35Q79
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “The stability of steady-state solutions of the diffusion complex heat transfer model”, Dal'nevost. Mat. Zh., 14:1 (2014), 18–32
Citation in format AMSBIB
\Bibitem{GreChe14}
\by G.~V.~Grenkin, A.~Yu.~Chebotarev
\paper The stability of steady-state solutions of the diffusion complex heat transfer model
\jour Dal'nevost. Mat. Zh.
\yr 2014
\vol 14
\issue 1
\pages 18--32
\mathnet{http://mi.mathnet.ru/dvmg269}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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