Stationary solutions to the drift-diffusion model in the whole spaces

Ryo Kobayashi, Masaki Kurokiba, Shuichi Kawashima

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study the stationary problem in the whole space Rn for the drift-diffusion model arising in semiconductor device simulation and plasma physics. We prove the existence and uniqueness of stationary solutions in the weighted Lp spaces. The proof is based on a fixed point theorem of the Leray-Schauder type.

Original languageEnglish
Pages (from-to)640-652
Number of pages13
JournalMathematical Methods in the Applied Sciences
Volume32
Issue number6
DOIs
Publication statusPublished - 2009 Apr 1
Externally publishedYes

Fingerprint

Semiconductor Device Simulation
Drift-diffusion Model
Plasma Physics
Lp Spaces
Weighted Spaces
Semiconductor devices
Stationary Solutions
Fixed point theorem
Existence and Uniqueness
Physics
Plasmas

Keywords

  • Drift-diffusion model
  • Stationary solutions

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Stationary solutions to the drift-diffusion model in the whole spaces. / Kobayashi, Ryo; Kurokiba, Masaki; Kawashima, Shuichi.

In: Mathematical Methods in the Applied Sciences, Vol. 32, No. 6, 01.04.2009, p. 640-652.

Research output: Contribution to journalArticle

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