G. V. Grenkin, A. Yu. Chebotarev, “The stability of steady-state solutions of the diffusion complex heat transfer model”, Dal'nevost. Mat. Zh., 2014, Volume 14, Number 1,Pages <nobr>18

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

G. V. Grenkin^a, A. Yu. Chebotarev^b

^a Far Eastern Federal University, Vladivostok
^b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok

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.

UDC: 517.95

MSC: Primary 35K55; Secondary 35Q79

Received: 03.03.2014