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Homogenization in the energy variable for a neutron transport model

Hutridurga, Harsha; Mula, Olga; Salvarani, Francesco (2020), Homogenization in the energy variable for a neutron transport model, Asymptotic Analysis, 117, 1-2, p. 1-25. 10.3233/ASY-191544

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Type
Article accepté pour publication ou publié
Date
2020
Journal name
Asymptotic Analysis
Volume
117
Number
1-2
Publisher
IOS Press
Pages
1-25
Publication identifier
Metadata
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Author(s)
Hutridurga, Harsha

Mula, Olga cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Salvarani, Francesco
Dipartimento di matematica F. Casorati
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
his article addresses the homogenization of linear Boltzmann equation when the optical parameters are highly heterogeneous in the energy variable. We employ the method of two-scale convergence to arrive at the homogenization result. In doing so, we show the induction of a memory effect in the homogenization limit. We also provide some numerical experiments to illustrate our results. In the Appendix, we treat a related case of the harmonic oscillator.
Subjects / Keywords
Linear Boltzmann; equation, self-shielding; two-scale convergence; memory effects