Initial-Boundary Value Problem for the Non-Stationary Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions

Journal Article · Fri Jun 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3822-0· OSTI ID:22771203

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 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.

• OSTI ID: 22771203
• Journal Information: Journal of Mathematical Sciences, Vol. 231, Issue 3; 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
BOUNDARY-VALUE PROBLEMS
MATHEMATICAL SPACE
RADIANT HEAT TRANSFER
REFLECTION
REFRACTION