Energy-Dependent Boltzmann Equation in Plane Geometry
- 1 October 1963
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 4 (10), 1285-1292
- https://doi.org/10.1063/1.1703903
Abstract
The paper presents the general procedure of solving the energy‐dependent Boltzmann equation in plane geometry. The particular solutions are found and then it is proved that the general solutions can be formed by superposition of particular solutions. As an illustration, the fully degenerate kernel is considered in detail and a solution in a closed form is obtained.Keywords
This publication has 4 references indexed in Scilit:
- Neutron Transport with Anisotropic ScatteringNuclear Science and Engineering, 1961
- Two-group approach in neutron transport theory in plane geometryAnnals of Physics, 1961
- Solution of the one-velocity boltzmann equation with the first-order anisotropic scattering in plane geometryAnnals of Physics, 1961
- Elementary solutions of the transport equation and their applicationsAnnals of Physics, 1960