Viscous quantum hydrodynamics and parameter-elliptic systems

Kurzanzeige
dc.contributor.authorChen, Lideu
dc.contributor.authorDreher, Michael
dc.date.accessioned2012-05-02T09:32:48Zdeu
dc.date.available2012-05-02T09:32:48Zdeu
dc.date.issued2011
dc.description.abstractThe viscous quantum hydrodynamic model derived for semiconductor simulation is studied in this paper. The principal part of the vQHD system constitutes a parameter-elliptic operator provided that boundary conditions satisfying the Shapiro–Lopatinskii criterion are specified. We classify admissible boundary conditions and show that this principal part generates an analytic semigroup, from which we then obtain the local in time well-posedness. Furthermore, the exponential stability of zero current and large current steady states is proved, without any kind of subsonic condition. The decay rate is given explicitly.eng
dc.description.versionpublished
dc.identifier.citationFirst publ. in: Mathematical Methods in the Applied Sciences ; 34 (2011), 5. - pp. 520-531deu
dc.identifier.doi10.1002/mma.1377deu
dc.identifier.ppn373337973deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/19145
dc.language.isoengdeu
dc.legacy.dateIssued2012-05-02deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subjectSemiconductor modeldeu
dc.subjectboundary conditionsdeu
dc.subjectanalytic semigroupdeu
dc.subjectexponential stabilitydeu
dc.subjectdecay ratedeu
dc.subject.ddc510deu
dc.titleViscous quantum hydrodynamics and parameter-elliptic systemseng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
@article{Chen2011Visco-19145,
  year={2011},
  doi={10.1002/mma.1377},
  title={Viscous quantum hydrodynamics and parameter-elliptic systems},
  number={5},
  volume={34},
  issn={0170-4214},
  journal={Mathematical Methods in the Applied Sciences},
  pages={520--531},
  author={Chen, Li and Dreher, Michael}
}
kops.citation.iso690CHEN, Li, Michael DREHER, 2011. Viscous quantum hydrodynamics and parameter-elliptic systems. In: Mathematical Methods in the Applied Sciences. 2011, 34(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377deu
kops.citation.iso690CHEN, Li, Michael DREHER, 2011. Viscous quantum hydrodynamics and parameter-elliptic systems. In: Mathematical Methods in the Applied Sciences. 2011, 34(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377eng
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kops.sourcefieldMathematical Methods in the Applied Sciences. 2011, <b>34</b>(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377deu
kops.sourcefield.plainMathematical Methods in the Applied Sciences. 2011, 34(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377deu
kops.sourcefield.plainMathematical Methods in the Applied Sciences. 2011, 34(5), pp. 520-531. ISSN 0170-4214. Available under: doi: 10.1002/mma.1377eng
kops.submitter.emailoleg.kozlov@uni-konstanz.dedeu
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