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Title of Article

ON A NONLINEAR PROBLEM OF RADIATIVE TRANSFER IN A PLANE-PARALLEL LAYER


Issue
4
Date
2011

Section
MATHEMATICS

Article type
scientific article
UDC
517.9
Pages
140-145
Keywords
radiative transfer, boundary-value problem, ordered spaces, two-level atom model, system of integrodifferential equations


Authors
Kalinin Aleksey Vyacheslavovich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Kozlov Aleksandr Yurevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A stationary nonlinear system of integro-differential radiative transfer and statistical equilibrium equations has been considered which corresponds to a two-level atom model in the approximation of the complete frequency redistribution of radiation. The theorem on existence and uniqueness of solution for a boundary-value problem in a plane-parallel layer has been proved.

File (in Russian)