Initial-Boundary Value Problem for the Nonstationary Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions

Journal Article · Thu Nov 15 00:00:00 EST 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-4063-Y· OSTI ID:22773692

Amosov, A. A., E-mail: [e-mail] ^[1]

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1. National Research University “Moscow Power Engineering Institute” (Russian Federation)

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.

• OSTI ID: 22773692
• Journal Information: Journal of Mathematical Sciences, Vol. 235, Issue 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
42 ENGINEERING
BOUNDARY-VALUE PROBLEMS
EQUATIONS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
RADIANT HEAT TRANSFER
REFLECTION
REFRACTION