Quasi-neutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors

The limit of the vanishing Debye length (the charge neutral limit) in a nonlinear bipolar drift-diffusion model for semiconductors without a pn-junction (i.e., with a unipolar background charge) is studied. The quasi-neutral limit(zero-Debye-length limit) is determined rigorously by using the so-called entropy functional which yields appropriate uniform estimates