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Viscous Quantum Hydrodynamics and Parameter-Elliptic Systems

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2009

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Chen, Li

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-106024
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Zusammenfassung

The viscous quantum hydrodynamic model derived for semiconductor simulation is studied in this paper. The principal part of the vQHD system constitutes a parameter-elliptic operator provided that boundary conditions satisfying the Shapiro-Lopatinskii criterion are specified. We classify admissible boundary conditions and show that this principal part generates an analytic semigroup, from which we then obtain the local in time well-posedness. Furthermore, the exponential stability of zero current and large current steady states is proved, without any kind of subsonic condition. The decay rate is given explicitly.

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Fachgebiet (DDC)
510 Mathematik

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ISO 690DREHER, Michael, Li CHEN, 2009. Viscous Quantum Hydrodynamics and Parameter-Elliptic Systems
BibTex
@unpublished{Dreher2009Visco-749,
  year={2009},
  title={Viscous Quantum Hydrodynamics and  Parameter-Elliptic Systems},
  author={Dreher, Michael and Chen, Li}
}
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