Stability of Stationary Solutions of the Radiative Heat Transfer Equations

G. V. Grenkin; A. Yu. Chebotarev

doi:10.1134/S0965542518090087

Stability of Stationary Solutions of the Radiative Heat Transfer Equations

Authors: Grenkin G.V.¹^,2, Chebotarev A.Y.¹^,2
Affiliations:
1. Institute of Applied Mathematics, Far-Eastern Branch, Russian Academy of Sciences
2. Far Eastern Federal University
Issue: Vol 58, No 9 (2018)
Pages: 1420-1425
Section: Article
URL: https://journal-vniispk.ru/0965-5425/article/view/179830
DOI: https://doi.org/10.1134/S0965542518090087
ID: 179830

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Abstract
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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.

Keywords

radiative heat transfer, diffusion approximation, asymptotic stability.

About the authors

G. V. Grenkin

Institute of Applied Mathematics, Far-Eastern Branch, Russian Academy of Sciences; Far Eastern Federal University

Author for correspondence.
Email: glebgrenkin@gmail.com
Russian Federation, Vladivostok, 690041; Vladivostok, 690950

A. Yu. Chebotarev

Institute of Applied Mathematics, Far-Eastern Branch, Russian Academy of Sciences; Far Eastern Federal University

Author for correspondence.
Email: cheb@iam.dvo.ru
Russian Federation, Vladivostok, 690041; Vladivostok, 690950

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