Kinetic theory of atoms and photons: On the solution to the Milne-Chandrasekhar problem

DOI10.1080/00411459908214524zbMath0963.76076OpenAlexW2074566044MaRDI QIDQ4946408

Jacek Polewczak, Roberto Monaco, Alberto Rossani

Publication date: 25 June 2001

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

Full work available at URL: https://doi.org/10.1080/00411459908214524

zbMATH Keywords

existenceuniquenessnumerical solutionapproximate analytical solutionnonlinear transport problemMilne-Chandrasekhar problemmonochromatic photonsgas particles with two internal energy levels

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Atomic physics (81V45) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Waves and radiation in optics and electromagnetic theory (78A40)

Cites Work

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• Boundary value problems in abstract kinetic theory
• The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
• Kinetic approach for two-level atoms interacting with monochromatic photons
• Kinetic theory of atoms and photons: An application to the Milne-Chandrasekhar problem

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