Initial time layer problem for quantum drift-diffusion model

The Initial Time Layer Problem and the Quasineutral Limit in the Semiconductor Drift–Diffusion Model

The classical time-dependent drift-diffusion model for semiconductors is considered for small scaled Debye length (which is a singular perturbation parameter multiplying the Laplace operator in the Poisson equation). The corresponding limit is carried out on both the dielectric relaxation time scale and the diffusion time scale. The latter is a quasineutral limit and the former can be interpret...

Quenching Time for a Nonlocal Diffusion Problem with Large Initial Data

The Initial Time Layer Problem andthe

The limit of vanishing Debye length in a nonlinear bipolar drift diiusion model for semiconductors is studied. The limit is performed on both the initial time layer and the original time scale. In both cases the limiting problems are identiied. A main tool in the analysis are entropy methods.

quenching time for a nonlocal diffusion problem with large initial data

Time-dependent influence of prior probability: a problem for the drift-diffusion model?

Editor's Note: These short, critical reviews of recent papers in the Journal, written exclusively by graduate students or postdoctoral fellows, are intended to summarize the important findings of the paper and provide additional insight and commentary. For more information on the format and purpose of the Journal Club, please see Review of Hanks et al. How does the brain use prior expectations ...