Email this article Initial boundary value problem for the radiative transfer equation with diffusion matching conditions
- Authors: Prokhorov I.V.1,2, Sushchenko A.A.1,2, Kim A.2
-
Affiliations:
- Institute of Applied Mathematics
- Far Eastern Federal University
- Issue: Vol 11, No 1 (2017)
- Pages: 115-124
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212630
- DOI: https://doi.org/10.1134/S1990478917010136
- ID: 212630
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
I. V. Prokhorov
Institute of Applied Mathematics; Far Eastern Federal University
Author for correspondence.
Email: prokhorov@iam.dvo.ru
Russian Federation, ul. Radio 7, Vladivostok, 690041; ul. Sukhanova 8, Vladivostok, 690950
A. A. Sushchenko
Institute of Applied Mathematics; Far Eastern Federal University
Email: prokhorov@iam.dvo.ru
Russian Federation, ul. Radio 7, Vladivostok, 690041; ul. Sukhanova 8, Vladivostok, 690950
A. Kim
Far Eastern Federal University
Email: prokhorov@iam.dvo.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690950
Supplementary files
