Approximation by Diffusion and Homogenization for Fermi-Dirac-Poisson Statistics
Speaker: Lazhar Tayeb, University of Tunis
Location: Warren Weaver Hall 1302
Date: Thursday, January 26, 2012, 11 a.m.
We study the diffusion approximation of a Boltzmann-Poisson system dealing with Fermi-Dirac statistics in the presence of an extra external oscillating electrostatic potential. The relative entropy disspation and the two-scale Young measures are used to prove a two-scale strong convergence leading to a nonlinear Drift-diffusion with a effective potential and coupled to Poisson equation.