Analysis Seminar

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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.

Synopsis:

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.