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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 1, Pages 75–85
DOI: https://doi.org/10.17377/sibjim.2017.20.108 (Mi sjim950) 		 
This article is cited in 22 scientific papers (total in 22 papers)

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

I. V. Prokhorovab, A. A. Sushchenkoab, A. Kimb

a Institute of Applied Mathematics Far Eastern Branch RAS, Radio str., 7, 690041 Vladivostok
b Far Eastern Federal University, Sukhanov str., 8, 690950 Vladivostok
Full-text PDF (241 kB) Citations (22)
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DOI: https://doi.org/10.17377/sibjim.2017.20.108
Abstract: We consider the Cauchy problem for the nonstationary equation of radiative transfer with generalized matching conditions describing the diffusion reflection and refraction on the separation boundary of the media. We prove solvability of the initial boundary value problem and obtainh stabilization conditions for an unsteady solution.
Keywords: diffusion matching conditions, integro-differential equation, nonstationary equation, Cauchy problem, Hille–Yosida theorem.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 14.01.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 1, Pages 115–124
DOI: https://doi.org/10.1134/S1990478917010136
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: I. V. Prokhorov, A. A. Sushchenko, A. Kim, “An initial boundary value problem for the radiative transfer equation with diffusion matching conditions”, Sib. Zh. Ind. Mat., 20:1 (2017), 75–85; J. Appl. Industr. Math., 11:1 (2017), 115–124
Citation in format AMSBIB
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\paper An initial boundary value problem for the radiative transfer equation with diffusion matching conditions
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\jour J. Appl. Industr. Math.
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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