Sommario
Si prova l'esistenza e l'unicità della soluzione di un semplice modello matematico del fenomeno del trasporto di neutroni in un sistema composto da due regioni moltiplicanti separate da un mezzo assorbente. Si mostra come la matrice operatore del trasporto di neutroni ha almeno un autovalore reale e si accenna al comportamento asintotico del vettore densità neutronica quando t→ +∞.
Summary
We prove the existence and the uniqueness of the solution of a simple mathematical model of the neutron transport phenomenon in a system composed of two multiplying cores separated by an absorbing region. Moreover, we show that the neutron trasport matrix operator has at least one real eigenvalue, and we investigate the asymptotic behaviour of the neutron density vector as t→ +∞.
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References
F. T. Adler andS. J. Gage,Coupled Core Reactor Kinetics, Am. Nucl. Soc., Texas A-M Press, 1967.
A. Belleni Morante,Nukleonik 10, 217–223, 1967.
J. Lehner andM. G. Wing,Comm. Pure Appl. Math. 8, 217–234, (1955).
J. Lehner andM. G. Wing,Duke Math. 23, 125–142, 1955.
K. Jorgens,Comm. Pure Appl. Math. 11, 219–242, 1958.
G. H. Pimbley, Jr.,J. Math. Mech. 8, 837–866, 1959.
A. Belleni Morante, to be published.
B. Davison,Neutron Transport Theory, Oxford University Press, London, 1957.
E. Hille andR. S. Phillips,Functional Analysis and Semigroups, Am. Math. Soc. Coll. Publ., Vol. 31, Providence, 1957.
T. Kato,Perturbation Theory for Linear Operators, Springer-Verlag New York Inc., New York, 1966.
F. Riesz andB. Sz.-Nagy,Leçons d'analyse fonctionelle, Gauthier-Villar, Paris, 1955.
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Morante, A.B. The initial-value problem for neutron transport in a coupled core assembly. Meccanica 4, 183–189 (1969). https://doi.org/10.1007/BF02133433
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DOI: https://doi.org/10.1007/BF02133433