Viscous Quantum Hydrodynamics and  Parameter-Elliptic Systems

Dreher, Michael; Chen, Li

Viscous Quantum Hydrodynamics and Parameter-Elliptic Systems

Files

prepr_263.pdf(359.17 KB)

Date

2009

Authors

Dreher, Michael

Chen, Li

Series

Konstanzer Schriften in Mathematik; 263

Publication type

Preprint

Abstract

The 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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

DREHER, Michael, Li CHEN, 2009. Viscous Quantum Hydrodynamics and Parameter-Elliptic Systems

BibTex

@unpublished{Dreher2009Visco-749,
  year={2009},
  title={Viscous Quantum Hydrodynamics and  Parameter-Elliptic Systems},
  author={Dreher, Michael and Chen, Li}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/749">
    <dcterms:abstract xml:lang="eng">The 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.</dcterms:abstract>
    <dc:creator>Dreher, Michael</dc:creator>
    <dc:contributor>Chen, Li</dc:contributor>
    <dcterms:issued>2009</dcterms:issued>
    <dc:format>application/pdf</dc:format>
    <dc:contributor>Dreher, Michael</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/749/1/prepr_263.pdf"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/749"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:44Z</dc:date>
    <dcterms:title>Viscous Quantum Hydrodynamics and  Parameter-Elliptic Systems</dcterms:title>
    <dc:creator>Chen, Li</dc:creator>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:44Z</dcterms:available>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:language>eng</dc:language>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/749/1/prepr_263.pdf"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
  </rdf:Description>
</rdf:RDF>

Bibliography of Konstanz

Yes