Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 151, Pages 62–66 (Mi into340)  
Objective Function in the Problem of Optimal Laser-Assisted Separation of Isotopes by the Method of Selective Retardation of Condensation

K. A. Lyakhovab, A. N. Pechenca

a Steklov Mathematical Institute of Russian Academy of Sciences
b Cheju National University, South Korea
c National University of Science and Technology «MISIS»
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Abstract: A design of an enrichment plant based on the method of selective retardation of condensation in an external laser field was proposed earlier. In this paper, we review recent results on optimization criteria (target functions) proposed for the search for optimal parameters of this scheme, related to the geometry and operational characteristics of the plant. The influence of the condensation rate and the resonance and nonresonance absorption in a separation cell on its geometry are considered as constraints in the optimization problem. Separating cells play the role of absorbers in laser resonators.
Keywords: optimal control, boron isotopes, dynamics of supercooled and rarefied gas flow.
Funding agency Grant number
Russian Science Foundation 17-11-01388
This work was supported by the Russian Science Foundation (project No. 17-11-01388).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 1, Pages 60–64
DOI: https://doi.org/10.1007/s10958-020-05141-0
Bibliographic databases:
Document Type: Article
UDC: 51-74
MSC: 49K99
Language: Russian
Citation: K. A. Lyakhov, A. N. Pechen, “Objective Function in the Problem of Optimal Laser-Assisted Separation of Isotopes by the Method of Selective Retardation of Condensation”, Quantum probability, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 62–66; J. Math. Sci. (N. Y.), 252:1 (2021), 60–64
Citation in format AMSBIB
\Bibitem{LyaPec18}
\by K.~A.~Lyakhov, A.~N.~Pechen
\paper Objective Function in the Problem of Optimal Laser-Assisted Separation of Isotopes by the Method of Selective Retardation of Condensation
\inbook Quantum probability
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 151
\pages 62--66
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into340}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903367}
\elib{https://elibrary.ru/item.asp?id=45138740}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 1
\pages 60--64
\crossref{https://doi.org/10.1007/s10958-020-05141-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85096384111}
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