Homogenization of a neutronic critical diffusion problem with drift

Journal article

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 ...

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Authors: Capdeboscq, Y

• Publication status: Published
• Journal: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
• Volume: 132
• Issue: 3
• Pages: 567-594
• Publication date: 2002-01-01
• DOI: 10.1017/S0308210500001785
• EISSN: 1473-7124
• ISSN: 0308-2105
• Language: English