Spectral asymptotic analysis of a neutronic diffusion problem. (Analyse asymptotique spectrale d’un problème de diffusion neutronique.) (French. Abridged English version) Zbl 0879.35153

Allaire, Grégoire; Malige, François

C. R. Acad. Sci., Paris, Sér. I 324, No. 8, 939-944 (1997).

Summary: We study the homogenization of an eigenvalue problem for neutronic diffusion in a periodic heterogeneous domain. Using a model with an ad hoc scaling of the coefficients (preserving physical intrinsic properties), we prove a convergence theorem justifying the method used in computations for cores of nuclear reactors. Finally, we indicate some possible generalizations.

MSC:

35Q72	Other PDE from mechanics (MSC2000)
82D75	Nuclear reactor theory; neutron transport
35B27	Homogenization in context of PDEs; PDEs in media with periodic structure

Keywords:

homogenization of an eigenvalue problem for neutronic diffusion; periodic heterogeneous domain