Convergence in the mean of solutions to the neutron integral Boltzmann equation in three-dimensional systems
- 1 March 1973
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (3) , 346-352
- https://doi.org/10.1063/1.1666320
Abstract
The Neumann series solution as well as practical solutions for the stationary integral Boltzmann equation, which governs the flux distribution of monoenergetic neutrons in a three-dimensional system made by an isotropically scattering and multiplying material, are built up by extensively using the concept of double norm and the theory of bounded linear integral transformations in a Lebesgue space Lp. The convergence in the mean as well as other basic properties of the proposed solutions are studied for the cases of both distributed and isotropic deltalike sources.Keywords
This publication has 4 references indexed in Scilit:
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- Solution to the monoenergetic neutron Boltzmann equation for a finite parallelepipedTransport Theory and Statistical Physics, 1971
- Solution to the boltzmann equation for monoenergetic neutrons in a slabMeccanica, 1970
- Three-Dimensional Linear Transport TheoryJournal of Mathematical Physics, 1970