Homogenization in the energy variable for a neutron transport model | Zendy

Harsha Hutridurga | Zendy; Olga Mula | Zendy; Francesco Salvarani | Zendy

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Homogenization in the energy variable for a neutron transport model

Author(s) -

Harsha Hutridurga,

Olga Mula,

Francesco Salvarani

Publication year - 2019

Publication title -

asymptotic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.576

H-Index - 45

eISSN - 1875-8576

pISSN - 0921-7134

DOI - 10.3233/asy-191544

Subject(s) - homogenization (climate) , harmonic oscillator , boltzmann equation , mathematics , boltzmann constant , statistical physics , physics , mathematical analysis , quantum mechanics , biodiversity , ecology , biology

This 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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