Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors

Weifu Fang, Kazufumi Ito

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the case of two carrier types (i.e. electrons and holes) in the same hydrodynamic model where the equations of energy conservation are eliminated by assuming a pressure-density relation. The model under consideration in one spatial dimension consists of the following equations. See, e.g. [l-3,6] for details on derivation of the model

Original languageEnglish
Pages (from-to)947-963
Number of pages17
JournalNonlinear Analysis
Volume28
Issue number5
DOIs
StatePublished - Mar 1 1997

ASJC Scopus Subject Areas

  • Analysis
  • Applied Mathematics

Keywords

  • Compensated compactness
  • Hydrodynamic model for semiconductors
  • Hyperbolic systems
  • Viscosity method

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