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Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations

Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations

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Prüfsumme: MD5:18a52cb0c08886f0f7485d9e467fffc2

JÜNGEL, Ansgar, Shu WANG, 2002. Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations

@unpublished{Jungel2002Conve-6256, title={Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations}, year={2002}, author={Jüngel, Ansgar and Wang, Shu} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/6256"> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:10:33Z</dcterms:available> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:10:33Z</dc:date> <dcterms:abstract xml:lang="eng">The combined semi-classical and quasineutral limit in the bipolar defocusing nonlinear Schrödinger-Poisson system in the whole space is proven. The electron and current densities, defined by the solution of the Schrödinger-Poisson system, converge to the solution of the compressible Euler equation with nonlinear pressure. The corresponding Wigner function of the Schrödinger-Poisson system converges to a solution of a nonlinear Vlasov equation. The proof of these results is based on estimates of a modulated energy functional and on the Wigner measure method.</dcterms:abstract> <dc:creator>Jüngel, Ansgar</dc:creator> <dcterms:issued>2002</dcterms:issued> <dc:contributor>Wang, Shu</dc:contributor> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6256"/> <dc:format>application/pdf</dc:format> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dcterms:title>Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations</dcterms:title> <dc:contributor>Jüngel, Ansgar</dc:contributor> <dc:creator>Wang, Shu</dc:creator> <dc:rights>deposit-license</dc:rights> <dc:language>eng</dc:language> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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