Initial-boundary value problem for a radiative transfer equation with generalized matching conditions

DOI10.33048/semi.2019.16.072zbMath1430.35223OpenAlexW3016163028MaRDI QIDQ2331118

Anton Kim, I. V. Prokhorov

Publication date: 25 October 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.072

zbMATH Keywords

Cauchy problemMonte Carlo methodsradiative transfer equationFresnel and diffuse matching conditions

Mathematics Subject Classification ID

Monte Carlo methods (65C05) PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19) Monte Carlo methods applied to problems in thermodynamics and heat transfer (80M31)

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Uses Software

• Stanford 3D Scanning Repository

Cites Work

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