Email this article Initial-Boundary Value Problem for the Non-Stationary Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions
- Authors: Amosov A.A.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 231, No 3 (2018)
- Pages: 279-337
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241145
- DOI: https://doi.org/10.1007/s10958-018-3822-0
- ID: 241145
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Abstract
We consider the initial-boundary value problems for the nonstationary radiative transfer equation in a system of semitransparent bodies with boundary and initial data in the complete scale of Lebesgue spaces. We establish the unique solvability of the first initial-boundary value problem, the problem with “shooting conditions,” and the problem with Fresnel reflection and refraction conditions on the body boundaries.
About the authors
A. A. Amosov
National Research University “Moscow Power Engineering Institute”
Author for correspondence.
Email: AmosovAA@mpei.ru
Russian Federation, 14, Krasnokazarmennaya St, Moscow, 111250
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