Concepedia

The Initial-Value Problem for a Slab. I. Anisotropic Scattering

Janusz Mika

Journal of Mathematical Physics · 1966 · 10 citations · 4 references

DOI

Concepts

Abstract

In this paper, the spectral properties of the Boltzmann operator describing the transport of mono-energetic neutrons with anisotropic scattering in a slab are considered. The Hille-Yosida theorem is applied to obtain the semi-group of operators solving the initial-value problem.

References

4

Neutron Transport with Anisotropic Scattering

Janusz Mika · Nuclear Science and Engineering · 1961 · 192 citations

, , +14

On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

Joseph Lehner, G. Milton Wing · Communications on Pure and Applied Mathematics · 1955 · 181 citations

, , +13

Solution of the linearized Boltzmann transport equation for the slab geometry

Joseph Lehner, G. Milton Wing · Duke Mathematical Journal · 1956 · 109 citations

, , +8

Solution of the Initial-Value Transport Problem for Monoenergetic Neutrons in Slab Geometry

R. L. Bowden, C. D. Williams · Journal of Mathematical Physics · 1964 · 38 citations

, , +12