Asymptotic Limits for Quantum Trajectory Models
| dc.contributor.author | Gamba, Irene | deu |
| dc.contributor.author | Jüngel, Ansgar | deu |
| dc.date.accessioned | 2011-03-24T16:12:31Z | deu |
| dc.date.available | 2011-03-24T16:12:31Z | deu |
| dc.date.issued | 2001 | deu |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | |
| dc.format.mimetype | application/pdf | deu |
| dc.identifier.ppn | 260103802 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/6412 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2006 | deu |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik und Informatik | |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject.ddc | 004 | deu |
| dc.title | Asymptotic Limits for Quantum Trajectory Models | eng |
| dc.type | PREPRINT | deu |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 138 | deu |
| kops.citation.bibtex | @unpublished{Gamba2001Asymp-6412,
year={2001},
title={Asymptotic Limits for Quantum Trajectory Models},
author={Gamba, Irene and Jüngel, Ansgar}
} | |
| kops.citation.iso690 | GAMBA, Irene, Ansgar JÜNGEL, 2001. Asymptotic Limits for Quantum Trajectory Models | deu |
| kops.citation.iso690 | GAMBA, Irene, Ansgar JÜNGEL, 2001. Asymptotic Limits for Quantum Trajectory Models | eng |
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