New elementary solutions of the monoenergetic Boltzmann equation
Journal Article
·
· Transport Theory and Statistical Physics; (United States)
- Univ. Libre de Bruxelles, Brussels (Belgium)
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 {ne} 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.
- OSTI ID:
- 7277006
- Journal Information:
- Transport Theory and Statistical Physics; (United States), Journal Name: Transport Theory and Statistical Physics; (United States) Journal Issue: 5-6 Vol. 20:5-6; ISSN TTSPB; ISSN 0041-1450
- Country of Publication:
- United States
- Language:
- English
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