## Boundary Layers for Quantum Semiconductor Models

2013
##### Project
Analysis and Numerics of Evolution Equations
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.
530 Physics
##### Cite This
ISO 690SCHNUR, 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},
school={Universität Konstanz}
}

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##### Examination date of dissertation
November 25, 2013