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Homogenization in the energy variable for a neutron transport model

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1901.10164.pdf (664.3Kb)
Date
2020
Dewey
Analyse
Sujet
Linear Boltzmann; equation, self-shielding; two-scale convergence; memory effects
Journal issue
Asymptotic Analysis
Volume
117
Number
1-2
Publication date
2020
Article pages
1-25
Publisher
IOS Press
DOI
http://dx.doi.org/10.3233/ASY-191544
URI
https://basepub.dauphine.fr/handle/123456789/19807
Collections
  • CEREMADE : Publications
Metadata
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Author
Hutridurga, Harsha
Mula, Olga
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Salvarani, Francesco
30138 Dipartimento di matematica F. Casorati
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
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.

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