Homogenization in the energy variable for a neutron transport model
Analysis of PDEs
2019-06-04 v2
Abstract
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.
Cite
@article{arxiv.1901.10164,
title = {Homogenization in the energy variable for a neutron transport model},
author = {Harsha Hutridurga and Olga Mula and Francesco Salvarani},
journal= {arXiv preprint arXiv:1901.10164},
year = {2019}
}