On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces

DOI10.1070/IM2003V067N06ABEH000463zbMath1068.45019MaRDI QIDQ4674623

I. V. Prokhorov

Publication date: 17 May 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundary-value problemradiation transportFresnel's formulaestationary integro-differential equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (15)

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 ⋮ Boundary value problem for the radiation transfer equation with diffuse reflection and refraction conditions ⋮ Boundary Value Problems for the Radiative Transfer Equation with Reflection and Refraction Conditions ⋮ A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium ⋮ Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries ⋮ Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions ⋮ The cauchy problem for the radiative transfer equation with generalized conjugation conditions ⋮ Solvability of the initial-boundary value problem for an integrodifferential equation ⋮ On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions ⋮ Boundary value problem for radiation transfer equation in multilayered medium with 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 ⋮ Initial boundary value problem for the radiative transfer equation with diffusion matching conditions

This page was built for publication: On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces