Homogenization and localization in locally periodic transport
Grégoire Allaire, Guillaume Bal, Vincent Siess (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we study the homogenization and localization of a spectral transport equation posed in a locally periodic heterogeneous domain. This equation models the equilibrium of particles interacting with an underlying medium in the presence of a creation mechanism such as, for instance, neutrons in nuclear reactors. The physical coefficients of the domain are -periodic functions modulated by a macroscopic variable, where is a small parameter. The mean free path of the particles...