Neutron Transport in a Nonuniform Slab with Generalized Boundary Conditions

Abstract

We prove the existence and the uniqueness of the solution of the initial‐value problem for neutron transport in a nonuniform slab with generalized boundary conditions, which include the vacuum and the perfect reflection boundary conditions as particular cases. Moreover, we show that the position‐dependent transport operator has at least one real eigenvalue and we indicate the asymptotic behavior of the neutron density as t → + ∞.