Boundary Layers for Quantum Semiconductor Models

Schnur, Johannes

Boundary Layers for Quantum Semiconductor Models

Files

Dissertation_Schnur_flat.pdf(1.29 MB)

Date

2013

Project

Analysis and Numerics of Evolution Equations

Collections

Mathematik und Statistik

Publication type

Dissertation

Abstract

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.

Subject (DDC)

530 Physics

Cite This

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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Examination date of dissertation

November 25, 2013