The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

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dc.contributor.authorDreher, Michael
dc.contributor.authorSchnur, Johannes
dc.date.accessioned2014-04-09T09:55:01Zdeu
dc.date.available2014-04-09T09:55:01Zdeu
dc.date.issued2014deu
dc.description.abstractWe investigate the viscous model of quantum hydrodynamics, which describes the charge transport in a certain semiconductor. Quantum mechanical effects lead to third order derivatives, turning the stationary system into an elliptic system of mixed order in the sense of Douglis-Nirenberg. In the case most relevant to applications, the semiconductor device features a piecewise constant barrier potential. In the case of thermodynamic
equilibrium, we obtain asymptotic expansions of interfacial layers of the particle density in neighbourhoods of the jump points of this barrier potential, and we present rigorous proofs of uniform estimates of the remainder terms in these asymptotic expansions.		eng
dc.description.versionpublished
dc.identifier.ppn403747813deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/27502
dc.language.isoengdeu
dc.legacy.dateIssued2014-04-09deu
dc.relation.ispartofseriesKonstanzer Schriften in Mathematik
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subjectpartial differential equationsdeu
dc.subject.ddc510deu
dc.subject.msc34E05, 76Y05, 76N20deu
dc.titleThe combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potentialeng
dc.typeWORKINGPAPERdeu
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kops.bibliographicInfo.seriesNumber329deu
kops.citation.bibtex
@techreport{Dreher2014combi-27502,
  year={2014},
  series={Konstanzer Schriften in Mathematik},
  title={The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential},
  number={329},
  author={Dreher, Michael and Schnur, Johannes}
}
kops.citation.iso690DREHER, Michael, Johannes SCHNUR, 2014. The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potentialdeu
kops.citation.iso690DREHER, Michael, Johannes SCHNUR, 2014. The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potentialeng
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