Homogenization of linear transport equations in a stationary ergodic setting

Anne-Laure Dalibard (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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.

Mots clés: Homogenization. Transport equation; Homogenization. Transport equation.

Domaines: Equations aux dérivées partielles [math.AP]

Anne-Laure Dalibard. Homogenization of linear transport equations in a stationary ergodic setting. Communications in Partial Differential Equations, 2008, 33 (5), pp.881 - 921. ⟨10.1080/03605300701518216⟩. ⟨hal-00128838⟩