Diffusion Limit of a Small Mean Free Path of Radiative Transfer Equations with Absorbing Boundary Condition

DOI10.1080/00411450.2012.747540zbMath1276.82056OpenAlexW1976317429MaRDI QIDQ5299772

Yong Qian Han, Bo-ling Guo

Publication date: 21 June 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450.2012.747540

zbMATH Keywords

asymptotic analysisboundary layerdiffusion equationsabsorbing boundary conditionsexistence and uniqueness of solutionsdiffusion limitradiative transfer equationsinitial-boundary layervalidity of asymptotic expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Diffusion processes (60J60) Transport processes in time-dependent statistical mechanics (82C70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nuclear reactor theory; neutron transport (82D75) Waves and radiation in optics and electromagnetic theory (78A40) Existence of solutions of dynamical problems in solid mechanics (74H20) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)

Related Items (1)

Radiative Transfer in Two Adjoining Media: The Continuity of Thermal Flux and the Existence and Uniqueness of Solutions

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