Homogenization of linear transport equations in a stationary ergodic setting
Analysis of PDEs
2008-12-08 v1
Abstract
We study the homogenization of a linear kinetic equation which models the evolution of the density of charged particles submitted to a highly oscillating electric field. The electric field and the initial density are assumed to be random and stationary. We identify the asymptotic microscopic and macroscopic profiles of the density, and we derive formulas for these profiles when the space dimension is equal to one.
Cite
@article{arxiv.math/0702059,
title = {Homogenization of linear transport equations in a stationary ergodic setting},
author = {Anne-Laure Dalibard},
journal= {arXiv preprint arXiv:math/0702059},
year = {2008}
}
Comments
24 pages