Email this article Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries
- Authors: Amosov A.A.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 219, No 6 (2016)
- Pages: 821-849
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238720
- DOI: https://doi.org/10.1007/s10958-016-3150-1
- ID: 238720
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Abstract
We consider the boundary value problem for the radiative transfer equation with mirror reflection and refraction conditions subject to the Fresnel laws in a system of bodies with piecewise smooth boundaries. In the case of data in the complete scale of Lebesgue spaces, we establish the existence and uniqueness of a solution. We obtain estimates for the solution and study the conjugate problem.
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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