This article is cited in 1 scientific paper (total in 1 paper)
A discrete model for nonlinear problems of Radiation Transfer: principle of invariance and factorization
N. B. Engibaryan
Institute of Mathematics, NAS Armenia
A discrete model for nonlinear problems of Radiation Transfer in a plane layer, consisting of finite or infinite number of identical sublayers, possessing given reflection-transmission properties,
is considered. Fulfilment of condition of dissipativness or conservativness is assumed. Concept îf
minimality of the solution provides uniqueness of solution of boundary value problem for the difference transfer equation. An a priori estimates are obtained. Ambartsumian Principle of Invariance is diseminated and substantiated on Transfer equation in half-space, which lead to factorization of nonlinear boundary-value problem.
Nonlinear Transfer problem, discrete model, minimality, solvability, factorization of non-linear boundary-value problem.
PDF file (302 kB)
N. B. Engibaryan, “A discrete model for nonlinear problems of Radiation Transfer: principle of invariance and factorization”, Matem. Mod., 27:5 (2015), 127–136
Citation in format AMSBIB
\paper A discrete model for nonlinear problems of Radiation Transfer: principle of invariance and factorization
\jour Matem. Mod.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
Kh. A. Khachatryan, M. H. Avetisyan, “On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices”, Uch. zapiski EGU, ser. Fizika i Matematika, 51:2 (2017), 158–167
|Number of views:|