Application of the Method of Matched Asymptotic Expansions to a Problem in Linear Transport Theory
- 1 May 1970
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (5) , 1743-1749
- https://doi.org/10.1063/1.1665321
Abstract
The method of matched asymptotic expansions is used to reduce the time-dependent, one-velocity neutron transport equation to a set of more tractable equations. This reduction is accomplished subject to general initial conditions on both the neutron flux and delayed neutron precursors.Keywords
This publication has 10 references indexed in Scilit:
- An Analysis of the Time-Dependent Neutron Transport Equation with Delayed Neutrons by the Method of Matched Asymptotic ExpansionsNuclear Science and Engineering, 1969
- Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operatorJournal of Mathematical Analysis and Applications, 1968
- The initial-value transport problem for monoenergetic neutrons in an infinite slab with delayed neutron productionJournal of Mathematical Analysis and Applications, 1967
- Chapman-Enskog-Hilbert Expansion for a Class of Solutions of the Telegraph EquationJournal of Mathematical Physics, 1967
- Time-Dependent One-Speed Albedo Problem for a Semi-Infinite MediumJournal of Mathematical Physics, 1965
- Solution of the Initial-Value Transport Problem for Monoenergetic Neutrons in Slab GeometryJournal of Mathematical Physics, 1964
- On the real spectrum of a mono‐energetic neutron transport operatorCommunications on Pure and Applied Mathematics, 1962
- An asymptotic expansion in the theory of neutron transportCommunications on Pure and Applied Mathematics, 1958
- Solution of the linearized Boltzmann transport equation for the slab geometryDuke Mathematical Journal, 1956
- On the spectrum of an unsymmetric operator arising in the transport theory of neutronsCommunications on Pure and Applied Mathematics, 1955