The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model

Ingenuin Gasser*, C. David Levermore, Peter Markowich, Christian Schmeiser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

51 Scopus citations

Abstract

The classical time-dependent drift-diffusion model for semiconductors is considered for small scaled Debye length (which is a singular perturbation parameter). 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 interpreted as an initial time layer problem. The main mathematical tool for the analytically rigorous singular perturbation theory of this paper is the (physical) entropy of the system.

Original languageEnglish (US)
Pages (from-to)497-512
Number of pages16
JournalEuropean Journal of Applied Mathematics
Volume12
Issue number4
DOIs
StatePublished - Dec 1 2001

ASJC Scopus subject areas

  • Applied Mathematics

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