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

Kurzanzeige
dc.contributor.authorDreher, Michael
dc.contributor.authorSchnur, Johannes
dc.date.accessioned2017-08-03T09:19:59Z
dc.date.available2017-08-03T09:19:59Z
dc.date.issued2015-05eng
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.versionpublishedde
dc.identifier.doi10.1016/j.jmaa.2015.01.019eng
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/39754
dc.language.isoengeng
dc.subjectBoundary layers, Quantum hydrodynamics, Remainder estimateseng
dc.subject.ddc510eng
dc.titleThe combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potentialeng
dc.typeJOURNAL_ARTICLEde
dspace.entity.typePublication
kops.citation.bibtex
@article{Dreher2015-05combi-39754,
  year={2015},
  doi={10.1016/j.jmaa.2015.01.019},
  title={The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential},
  number={2},
  volume={425},
  issn={0022-247X},
  journal={Journal of Mathematical Analysis and Applications},
  pages={1113--1133},
  author={Dreher, Michael and Schnur, Johannes}
}
kops.citation.iso690DREHER, Michael, Johannes SCHNUR, 2015. The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential. In: Journal of Mathematical Analysis and Applications. 2015, 425(2), pp. 1113-1133. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2015.01.019deu
kops.citation.iso690DREHER, Michael, Johannes SCHNUR, 2015. The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential. In: Journal of Mathematical Analysis and Applications. 2015, 425(2), pp. 1113-1133. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2015.01.019eng
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kops.sourcefieldJournal of Mathematical Analysis and Applications. 2015, <b>425</b>(2), pp. 1113-1133. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2015.01.019deu
kops.sourcefield.plainJournal of Mathematical Analysis and Applications. 2015, 425(2), pp. 1113-1133. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2015.01.019deu
kops.sourcefield.plainJournal of Mathematical Analysis and Applications. 2015, 425(2), pp. 1113-1133. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2015.01.019eng
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source.periodicalTitleJournal of Mathematical Analysis and Applicationseng

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