时间依赖中子迁移方程的离散纵标法(英文)

THE DISCRETE ORDINATES METHOD FOR TIME DEPENDENT NEUTRON TRANSPORT EQUATION

本文讨论了在非均匀板中,散射和裂变是各向异性的与时间有关的中子迁移方程,运用有界线性算子的半群理论证明了:(i)在连续函数究间C(G)中,方程非负解的存在唯一性(迁移算子的定义域在这类空间中不稠)。(ii)这方程的解能以相应的离散纵标方程的解一致逼近。

This paper discusses the time-dependent neutron transport equation in inhomo-geneous slab with anisotropic scattering and fission. By means of the theory of integrated semigroup of bounded linear operators. We prove: (i) the existeec and uniqueness of non-negative solutions of the equation in the continuous function space C ( G ) (in which the domain of the transport operator is not dense), ( ii) the solution of the equation can be approximated uniformly by the solution of the corresponding discrete ordinates equations.