Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions

DOI10.1080/00036811.2015.1112000zbMath1348.45006OpenAlexW2397930673WikidataQ58162125 ScholiaQ58162125MaRDI QIDQ2825323

Michael Shumarov, Andrey A. Amosov

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1112000

zbMATH Keywords

a priori estimatesradiation transfer equationreflection and refraction conditionsexistence and uniqueness of a solutionmultilayered medium

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Boundary value problems for functional-differential equations (34K10)

Related Items (9)

Initial-boundary value problem for the non-stationary radiative transfer equation with Fresnel reflection and refraction conditions ⋮ Unnamed Item ⋮ Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions ⋮ Asymptotic behavior of a solution to the radiative transfer equation in a multilayered medium with diffuse reflection and refraction conditions ⋮ Boundary value problem for the radiative transfer equation with non-Lambert diffuse reflection and diffuse refraction conditions ⋮ Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries ⋮ Initial-boundary value problem for the nonstationary radiative transfer equation with diffuse reflection and refraction conditions ⋮ The Cauchy problem for the radiation transfer equation with Fresnel and Lambert matching conditions ⋮ Initial-boundary value problem for a radiative transfer equation with generalized matching conditions

Cites Work

• A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium
• Solvability of the initial-boundary value problem for an integrodifferential equation
• On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces
• An extremum problem for the radiation transfer equation
• The cauchy problem for the radiative transfer equation with generalized conjugation conditions
• Generalized solutions of boundary value problems for the transfer equation
• Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary

This page was built for publication: Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions