Homogenization of linear transport equations in a stationary ergodic setting

Details Homogenization of linear transport equations in a stationary ergodic setting Homogenization of linear transport equations in a stationary ergodic setting

2007-02-02

arxiv.org/abs/math/0702059v1

Communications in Partial Differential Equations 33, 5 (2008) 881 - 921

Mathematics

Analysis of PDEs

24 pages

Scientific paper

10.1080/03605300701518216

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.

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