Steady-State Solutions in the Two-Group Theory of Neutron Diffusion
- 1 October 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (10), 1461-1465
- https://doi.org/10.1063/1.1665863
Abstract
Functional analysis arguments are used to prove the existence of a unique solution to the integral form of the two‐group neutron‐transport equation for subcritical half‐spaces. The analytic properties of the solutions are discussed and used to prove that the partial indices of canonical solutions of the matrix Riemann problem, basic to H‐matrix or half‐range completeness considerations, are nonnegative.Keywords
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