The Initial-Value Problem for a Slab. I. Anisotropic Scattering
- 1 May 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (5), 833-838
- https://doi.org/10.1063/1.1931215
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.Keywords
This publication has 4 references indexed in Scilit:
- Solution of the Initial-Value Transport Problem for Monoenergetic Neutrons in Slab GeometryJournal of Mathematical Physics, 1964
- Neutron Transport with Anisotropic ScatteringNuclear Science and Engineering, 1961
- 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