Published 1991
| Version v1
Journal article
New elementary solutions of the monoenergetic Boltzmann equation
Description
New solutions of the monoenergetic Boltzmann equation in infinite homogeneous media are obtained as generalizations of results of Birkhoff and Abu-Shumays. Sources are polynomial or exponential with c ≠ 1 and anisotropic scattering is allowed. The main tool is a mean value theorem for polyharmonic polynomials. Closed form expressions are given for solutions of the Boltzmann equation for polynomial anisotropic sources. Generalizations of the Wallace development for the angular distribution in terms of the neutron density are obtained
Additional details
Publishing Information
- Journal Title
- Transport Theory and Statistical Physics
- Journal Volume
- 20
- Journal Issue
- 5-6
- Series
- Transp. Theory Stat. Phys.
- Journal Page Range
- 383-411
- ISSN
- 0041-1450
- CODEN
- TTSPB
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 23081272
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- ANISOTROPY; BOLTZMANN EQUATION; CALCULATION METHODS; NEUTRON DENSITY; NEUTRON TRANSPORT THEORY; POLYNOMIALS; SCATTERING
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; TRANSPORT THEORY