Viscous quantum hydrodynamics and parameter-elliptic systems

Chen, Li; Dreher, Michael

Viscous quantum hydrodynamics and parameter-elliptic systems

Dateien

Chen_191454.pdfGröße: 542.9 KBDownloads: 363

Datum

2011

Autor:innen

Chen, Li

Dreher, Michael

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematical Methods in the Applied Sciences. 2011, 34(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Semiconductor model, boundary conditions, analytic semigroup, exponential stability, decay rate

Zitieren

ISO 690

CHEN, Li, Michael DREHER, 2011. Viscous quantum hydrodynamics and parameter-elliptic systems. In: Mathematical Methods in the Applied Sciences. 2011, 34(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377

BibTex

@article{Chen2011Visco-19145,
  year={2011},
  doi={10.1002/mma.1377},
  title={Viscous quantum hydrodynamics and parameter-elliptic systems},
  number={5},
  volume={34},
  issn={0170-4214},
  journal={Mathematical Methods in the Applied Sciences},
  pages={520--531},
  author={Chen, Li and Dreher, Michael}
}

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