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High-accuracy neutron diffusion calculations based on integral transport theory
, 2020R. Gross, D. Tomatis, E. Gilad
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Some abalytical methods in neutron transport theory
Journal of Quantitative Spectroscopy and Radiative Transfer, 1971Abstract In this paper, whose purpose is pedagogic, we discuss some distinctive features of neutron transport theory. The linearized transport equation is similar to those met in theories of gas dynamics and radiative transfer. We describe the analytical techniques that have been most successful in analyzing the neutron equation. Among these are: The
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A Survey of Neutron Transport Theory
1973The basic ideas of neutron transport theory are compared with those of the kinetic theory of gases, and the essential differences are indicated. Typical idealized problems are briefly described, and the mathematical and computational methods reviewed.
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Singular perturbation method in neutron transport theory
Journal of Mathematical Physics, 1974We consider equations of evolution with a small parameter in a Banach space. The method of singular perturbations is applied to derive inner and outer asymptotic solutions. It is shown that the neutron transport equation coupled with the equation for the concentration of delayed neutron precursors, if considered in the Hilbert space of square ...
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A family of transport equations in neutron transport theory
Annals of Nuclear Energy, 1991Abstract The backward formulation of problems in neutron transport is considered. Boundary conditions are developed from the adjoint system which in turn is rigorously obtained from a variational principle. The variational principle is derived by constraining the flux with the forward transport equation and affiliated boundary/initial conditions ...
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The Infinite Medium Green’s Function of Monoenergetic Neutron Transport Theory via Fourier Transform
, 2015B. Ganapol
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Coalescence of black hole–neutron star binaries
Living Reviews in Relativity, 2021Koutarou Kyutoku +2 more
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