Boundary Layers for Quantum Semiconductor Models

Schnur, Johannes

Boundary Layers for Quantum Semiconductor Models

Dateien

Dissertation_Schnur_flat.pdfGröße: 1.29 MBDownloads: 1141

Datum

2013

Projekt

Analysis and Numerics of Evolution Equations

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Dissertation

Publikationsstatus

Published

Zusammenfassung

In the present thesis, we consider variants of the stationary one-dimensional quantum drift-diffusion model and the stationary one-dimensional viscous quantum hydrodynamic model with a non-smooth barrier potential. For the latter, existence results are established by a reformulation in terms of a viscosity-adjusted Fermi-level, variational methods and fixed point arguments. The dependence of solutions on the quantum and viscous parameters is examined and the combined viscous semi-classical limit is considered. The existence of fluid-dynamical boundary layers is verified by the construction of asymptotic expansions of the solutions.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

SCHNUR, Johannes, 2013. Boundary Layers for Quantum Semiconductor Models [Dissertation]. Konstanz: University of Konstanz

BibTex

@phdthesis{Schnur2013Bound-25486,
  year={2013},
  title={Boundary Layers for Quantum Semiconductor Models},
  author={Schnur, Johannes},
  address={Konstanz},
  school={Universität Konstanz}
}

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Prüfungsdatum der Dissertation

November 25, 2013