Nonstationary problem of free convection with radiative heat transfer


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Abstract

Nonstationary problem of free convection of viscous incompressible fluid in a three-dimensional domain with allowance for radiative heat transfer is studied in the framework of the diffusion P1-approximation of the equation of radiative transfer. The solvability of the problem is proven, and sufficient conditions for the uniqueness are presented.

About the authors

G. V. Grenkin

Far Eastern Federal University; Institute of Applied Mathematics, Far East Branch

Author for correspondence.
Email: glebgrenkin@gmail.com
Russian Federation, ul. Sukhanova 8, Vladivostok, 690950; ul. Radio 7, Vladivostok, 690041

A. Yu. Chebotarev

Far Eastern Federal University; Institute of Applied Mathematics, Far East Branch

Email: glebgrenkin@gmail.com
Russian Federation, ul. Sukhanova 8, Vladivostok, 690950; ul. Radio 7, Vladivostok, 690041

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