Abstract
L. S. Pontryagin's maximum principle is used for solving problems in which it is necessary to find the minimum critical size of a reactor for a given power or to find the maximum power for a given critical size . Recently Pontryagin's maximum principle [1] has been successfully used both for determining the optimum transient conditions for reactors [2, 4] and for finding the optimum spatial arrangement for reactors with prescribed physical characteristics [1]. In the present study this principle is used in two otherproblems encountered in the theory of reactor design.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
L. S. Pontryagin et al., Mathematical Theory of Optimal Processes [in Russian], Moscow, Fizmatgiz (1961).
Joshikumi Shinohara and Jean Valat, C. r. Acad. Sci.,259 Groupe 6 (1964).
Z. Rosztoczy and L. Weaver, Nucl. Sci. Eng.20, 318 (1964).
J. Roberts and H. Smith, Nucl. Sci. Eng.,22, 470 (1965).
B. P. Kochurov, Atomnaya Énergiya,20, 243 (1966).
A. D. Galanin, Theory of Thermal-Neutron Nuclear Reactors [in Russian], Moscow, Atomizdat (1959).
Additional information
Translated from Atomnaya Énergiya, Vol.22, No.1, pp.6–10, January, 1967.
Rights and permissions
About this article
Cite this article
Zaritskaya, T.S., Rudik, A.P. Using L. S. Pontryagin's maximum principle in minimum-critical-size and maximum-power reactor problems. At Energy 22, 5–9 (1967). https://doi.org/10.1007/BF01225384
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01225384