Asymptotic Limits for Quantum Trajectory Models

Cite This

Files in this item

Checksum: MD5:93df9d457cba0fa69b18a0d4520d02b4

GAMBA, Irene, Ansgar JÜNGEL, 2001. Asymptotic Limits for Quantum Trajectory Models

@unpublished{Gamba2001Asymp-6412, title={Asymptotic Limits for Quantum Trajectory Models}, year={2001}, author={Gamba, Irene and Jüngel, Ansgar} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:issued>2001</dcterms:issued> <dc:rights>terms-of-use</dc:rights> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:available rdf:datatype="">2011-03-24T16:12:31Z</dcterms:available> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Jüngel, Ansgar</dc:creator> <dspace:hasBitstream rdf:resource=""/> <dcterms:hasPart rdf:resource=""/> <bibo:uri rdf:resource=""/> <dc:contributor>Jüngel, Ansgar</dc:contributor> <dcterms:rights rdf:resource=""/> <dc:contributor>Gamba, Irene</dc:contributor> <dc:date rdf:datatype="">2011-03-24T16:12:31Z</dc:date> <dc:creator>Gamba, Irene</dc:creator> <dc:language>eng</dc:language> <dc:format>application/pdf</dc:format> <dcterms:abstract xml:lang="eng">The semi-classical and the inviscid limit in quantum trajectory models given by a one-dimensional steady-state hydrodynamic system for quantum fluids are rigorously performed. The model consists of the momentum equation for the particle density in a bounded domain, with prescribed current density, and the Poisson equation for the electrostatic potential. The momentum equation can be written as a dispersive third-order differential equation which may include viscous terms. It is shown that the semi-classical and inviscid limit commute for sufficiently small data (i.e. current density) corresponding to subsonic states, were the inviscid non-dispersive solution is regular. In addition, we show these limits do not commute in general. The proofs are based on a reformulation of the problem as a singular second-order elliptic system and on elliptic and W1,1 estimates.</dcterms:abstract> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:title>Asymptotic Limits for Quantum Trajectory Models</dcterms:title> </rdf:Description> </rdf:RDF>

Downloads since Oct 1, 2014 (Information about access statistics)

preprint_138.pdf 286

This item appears in the following Collection(s)

Search KOPS


My Account