Homogenization of boundary value problems and spectral problems for neutron transport in locally periodic media

被引：14
作者：
Mokhtar-Kharroubi, M [1 ]
机构：
[1] Univ Franche Comte, Dept Math, F-25030 Besancon, France
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2004年 / 14卷 / 01期
关键词：
homogenization; transport equation; spectral theory; velocity averages;
D O I：
10.1142/S0218202504003167
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with boundary value problems and spectral problems for neutron transport equations involving locally periodic (in space) collision frequencies and collision operators. We show strong convergence results to the solution of homogenized problems when the period goes to zero. The mathematical analysis relies mainly on smoothing effects of velocity averages.
引用
收藏
页码：47 / 78
页数：32
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