Rigorous Derivation of a Hierarchy of Macroscopic Models for Semiconductors and Plasmas

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1999
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Jüngel, Ansgar
Peng, Yue-Jun
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A hierarchy of fluid dynamical models for semiconductors and plasmas is presented. Starting from an Euler-Poisson system, several model equations are derived by means of asymptotic analysis, for vanishing (scaled) relaxation time, electron mass or Debye length, respectively. The limiting procedure is mathematically justified. This paper is a review of recent results by the authors.

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ISO 690JÜNGEL, Ansgar, Yue-Jun PENG, 1999. Rigorous Derivation of a Hierarchy of Macroscopic Models for Semiconductors and Plasmas
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@unpublished{Jungel1999Rigor-6259,
  year={1999},
  title={Rigorous Derivation of a Hierarchy of Macroscopic Models for Semiconductors and Plasmas},
  author={Jüngel, Ansgar and Peng, Yue-Jun}
}
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