数学物理学报 ›› 1981, Vol. 1 ›› Issue (1): 1-12.

• 论文 •    下一篇

三维迁移方程的临界参数与临界通量

阳名珠1,3, 朱广田1,3   

  1. 1. 中国科学院原子能研究所;
    2. 中国科学院系统科学研究所;
    3. 中国科学院武汉数学物理研究所
  • 收稿日期:1980-05-08 出版日期:1981-03-26 发布日期:1981-03-26

THE CRITICAL PARAMETER AND FLUX OF THE THREE-DIMENSIONAL TRANSPORT EQUATION

Yang Mingzhu1,3, Zhu Guangtian1,3   

  1. 1. Institute of Atomic Energy, Academia Sinica;
    2. Institute of Systems Science, Academis Sinica;
    3. Wuhan Institute of Mathematical Sciences, Academia Sinica
  • Received:1980-05-08 Online:1981-03-26 Published:1981-03-26

摘要: In this paper we prove the existence of the critical parameter which has a unique non-negative eigen-function for 3-dimensional steady-state transport equation with isotropic scattering. We also give the convergence rate of iteration scheme in solving the linear transport equation.

Abstract: In this paper we prove the existence of the critical parameter which has a unique non-negative eigen-function for 3-dimensional steady-state transport equation with isotropic scattering. We also give the convergence rate of iteration scheme in solving the linear transport equation.