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Homogenization of linear transport equations in a stationary ergodic setting

Dalibard, Anne-Laure (2008), Homogenization of linear transport equations in a stationary ergodic setting, Communications in Partial Differential Equations, 33, 5, p. 881-921. http://dx.doi.org/10.1080/03605300701518216

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00128838/en/
Date
2008
Journal name
Communications in Partial Differential Equations
Volume
33
Number
5
Publisher
Taylor & Francis
Pages
881-921
Publication identifier
Metadata
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Author(s)
Dalibard, Anne-Laure
Abstract (EN)
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.
Subjects / Keywords
Homogenization. Transport equation.