Global existence and asymptotic behavior for a semiconductor drift-diffusion-poisson model

Hao Wu*, Peter Markowich, Songmu Zheng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this paper a time-dependent as well as a stationary drift-diffusion- Poisson system for semiconductors are studied. Global existence and uniqueness of weak solution of the time-dependent problem are proven and we also prove the existence and uniqueness of the steady state. It is shown that as time tends to infinity, the solution of the time-dependent problem will converge to a unique equilibrium. Due to the presence of recombination-generation rate R in our drift-diffusion-Poisson model, the work of this paper in some sense extends the results in the previous literature (on both time-dependent problem and stationary problem).

Original languageEnglish (US)
Pages (from-to)443-487
Number of pages45
JournalMathematical Models and Methods in Applied Sciences
Volume18
Issue number3
DOIs
StatePublished - Mar 1 2008

Keywords

  • Asymptotic behavior
  • Drift-diffusion-Poisson system
  • Global existence and uniqueness
  • Stationary problem

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Modeling and Simulation

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