Initial boundary value problem for the radiative transfer equation with diffusion matching conditions


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Under study is the Cauchy problemfor the nonstationary radiative transfer equation with generalized matching conditions that describes the diffuse reflection and refraction on the interface. The solvability of the initial-boundary value problem is proved. Some stabilization conditions for the nonstationary solution are obtained.

Sobre autores

I. Prokhorov

Institute of Applied Mathematics; Far Eastern Federal University

Autor responsável pela correspondência
Email: prokhorov@iam.dvo.ru
Rússia, ul. Radio 7, Vladivostok, 690041; ul. Sukhanova 8, Vladivostok, 690950

A. Sushchenko

Institute of Applied Mathematics; Far Eastern Federal University

Email: prokhorov@iam.dvo.ru
Rússia, ul. Radio 7, Vladivostok, 690041; ul. Sukhanova 8, Vladivostok, 690950

A. Kim

Far Eastern Federal University

Email: prokhorov@iam.dvo.ru
Rússia, ul. Sukhanova 8, Vladivostok, 690950

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