A review of hydrodynamical models for semiconductors: Asymptotic behavior

Hailiang Li*, Peter Markowich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We review recent results on the hydrodynamical model for semiconductors. The derivation of the mathematical model from the semi-classical Boltzmann equation in terms of the moment method is performed, and the mathematical analysis of the asymptotic behavior of both classical solutions and entropy weak solutions is given on spatially bounded domain or whole space.

Original languageEnglish (US)
Pages (from-to)321-342
Number of pages22
JournalBulletin of the Brazilian Mathematical Society
Volume32
Issue number3
DOIs
StatePublished - Jan 1 2001

Keywords

  • Asymptotic behavior
  • Hydrodynamical models
  • Semiconductors

ASJC Scopus subject areas

  • Mathematics(all)

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