数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (3): 279-285.

• 论文 • 上一篇    下一篇

NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION

姚爱翔   

  1. Institute of Atomic Energy, Academia Sinica, Beijing, China
  • 收稿日期:1984-08-17 出版日期:1986-09-25 发布日期:1986-09-25

NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION

Yao Aixiang   

  1. Institute of Atomic Energy, Academia Sinica, Beijing, China
  • Received:1984-08-17 Online:1986-09-25 Published:1986-09-25

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摘要： In this paper,a method based on Neumann series is proposed for solving stationary linear integral Boltzmann transport equations with variable energy for the case of both distributed and isotropic deltalike sources, by working in Lp(1 ≤ p ≤ ∞). The convergence of the Neumann series and convergent rate are established. In addition, a relation between stationary transport equation and time-dependent one is given.

Abstract: In this paper,a method based on Neumann series is proposed for solving stationary linear integral Boltzmann transport equations with variable energy for the case of both distributed and isotropic deltalike sources, by working in Lp(1 ≤ p ≤ ∞). The convergence of the Neumann series and convergent rate are established. In addition, a relation between stationary transport equation and time-dependent one is given.

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