Published November 2018
| Version v1
Journal article
Initial-Boundary Value Problem for the Nonstationary Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions
Creators
- 1. National Research University "Moscow Power Engineering Institute" (Russian Federation)
Description
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.
Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Mathematical Sciences
- Journal Volume
- 235
- Journal Issue
- 2
- Journal Page Range
- p. 117-137
- ISSN
- 1072-3374
- CODEN
- JMTSEW
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50016907
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S42: ENGINEERING;
- Descriptors DEI
- BOUNDARY-VALUE PROBLEMS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; RADIANT HEAT TRANSFER; REFLECTION; REFRACTION
- Descriptors DEC
- ENERGY TRANSFER; HEAT TRANSFER; SPACE
Optional Information
- Copyright
- Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature
- Notes
- http://www.springer-ny.com