Initial-Boundary Value Problem for the Nonstationary Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions
- Authors: Amosov A.A.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 235, No 2 (2018)
- Pages: 117-137
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242073
- DOI: https://doi.org/10.1007/s10958-018-4063-y
- ID: 242073
Cite item
Abstract
We consider the initial-boundary value problem for the nonstationary radiative transfer equation in a system of semitransparent bodies with the conditions of diffuse reflection and refraction of radiation. We establish the unique solvability of the problem with boundary and initial data in the complete scale of Lebesgue spaces. We obtain estimates for solutions.
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