Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries
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Publication:509535
DOI10.1007/s10958-016-3150-1zbMath1360.35262OpenAlexW2397423657MaRDI QIDQ509535
Publication date: 17 February 2017
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-016-3150-1
PDEs in connection with optics and electromagnetic theory (35Q60) Waves and radiation in optics and electromagnetic theory (78A40)
Related Items (11)
Initial-boundary value problem for the non-stationary radiative transfer equation with Fresnel reflection and refraction conditions ⋮ Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions ⋮ Unique solvability of stationary radiative-conductive heat transfer problem in a system of semitransparent bodies ⋮ Nonstationary radiative–conductive heat transfer problem in an absolutely black body with semitransparent inclusions ⋮ Boundary value problem for the radiative transfer equation with non-Lambert diffuse reflection and diffuse refraction conditions ⋮ Limit behavior of solutions to the radiative transfer equation as coefficients of absorption and scattering tend to infinity ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions ⋮ Unique solvability of the stationary complex heat transfer problem in a system of grey bodies with semitransparent inclusions ⋮ 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 ⋮ Nonstationary complex heat transfer problem in a system of grey bodies with semitransparent inclusions
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