# Journal article

## Homogenization of a neutronic critical diffusion problem with drift

Abstract:

In this paper we study the homogenization of an eigenvalue problem for a cooperative system of weakly coupled elliptic partial differential equations, called the neutronic multigroup diffusion model, in a periodic heterogeneous domain. Such a model is used for studying the criticality of nuclear reactor cores. In a recent work in collaboration with Grégoire Allaire, it is proved that, under a symmetry assumption, the first eigenvector of the multigroup system in the periodicity cell controls ...

Publication status:
Published

### Access Document

Publisher copy:
10.1017/S0308210500001785

### Authors

Journal:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume:
132
Issue:
3
Pages:
567-594
Publication date:
2002-01-01
DOI:
EISSN:
1473-7124
ISSN:
0308-2105
Language:
English
Pubs id:
pubs:8353
UUID:
uuid:67b46234-662d-4c3f-9ea6-93a94f1e65f5
Local pid:
pubs:8353
Source identifiers:
8353
Deposit date:
2012-12-19