Initial-boundary value problem for the nonstationary radiative transfer equation with diffuse reflection and refraction conditions

DOI10.1007/S10958-018-4063-YzbMath1409.35054OpenAlexW2895479859WikidataQ129145565 ScholiaQ129145565MaRDI QIDQ1755753

Andrey A. Amosov

Publication date: 11 January 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4063-y

zbMATH Keywords

system of semitransparent bodies

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Boundary value problem for the radiation transfer equation with reflection and refraction conditions
• Boundary value problem for the radiation transfer equation with diffuse reflection and refraction conditions
• Initial-boundary value problem for the non-stationary radiative transfer equation with Fresnel reflection and refraction conditions
• Some properties of boundary value problem for radiative transfer equation with diffuse reflection and refraction conditions
• Radiative transfer equation with diffuse reflection and refraction conditions in a system of bodies with piecewise smooth boundaries
• Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions
• Initial boundary value problem for the radiative transfer equation with diffusion matching conditions

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