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