Boundary Layers for Quantum Semiconductor Models


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SCHNUR, Johannes, 2013. Boundary Layers for Quantum Semiconductor Models

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

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:language>eng</dc:language> <dc:creator>Schnur, Johannes</dc:creator> <dcterms:rights rdf:resource=""/> <bibo:uri rdf:resource=""/> <dc:rights>deposit-license</dc:rights> <dc:contributor>Schnur, Johannes</dc:contributor> <dcterms:title>Boundary Layers for Quantum Semiconductor Models</dcterms:title> <dcterms:available rdf:datatype="">2013-12-18T12:43:43Z</dcterms:available> <dcterms:issued>2013</dcterms:issued> <dc:date rdf:datatype="">2013-12-18T12:43:43Z</dc:date> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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