Stochastic resolution of space-time nuclear reactor kinetics in multigroup diffusion theory

Journal Article · Sun Jul 01 04:00:00 EDT 1984 · Transp. Theory Stat. Phys.; (United States)

DOI:https://doi.org/10.1080/00411458408211658· OSTI ID:5574132

Mastrangelo, V; Mastrangelo, M

We study the solution of the multigroup integro-differential equation describing the neutrons behavior for the space-time nuclear reactor kinetics. By the way of a projective limit of the transition probabilities, we obtain a stochastic differential equation. An approximate strong solution of the multigroup integro-differential equation is then obtained by ''mixing'' the partial solutions of the regularized differential equations corresponding to each of the terms of the second member of the initial equation. The approximate strong solution thus obtained converges in the distributions space, to the solution of the studied equation when the regularized coefficients tend to the real ones.

• Research Organization: Conservatoire National des, Arts et Metiers, 292, rue Saint Martin, 75141 Paris Cedex 03
• OSTI ID: 5574132
• Journal Information: Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 13:3; ISSN TTSPB
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
KINETICS
MATHEMATICAL OPERATORS
MULTIGROUP THEORY
NEUTRON TRANSPORT THEORY
REACTOR KINETICS
SPACE-TIME
STOCHASTIC PROCESSES
THERMONUCLEAR REACTORS
TRANSPORT THEORY