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NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION

NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION

作     者:姚爱翔 Yao Aixiang Institute of Atomic Energy, Academia Sinica, Beijing, China

作者机构:Institute of Atomic Energy Academia Sinica Beijing China 

出 版 物:《Acta Mathematica Scientia》 (数学物理学报(英文版))

年 卷 期:1986年第6卷第3期

页      面:279-285页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION 

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 L~p(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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