The transient equations of viscous quantum hydrodynamics
| dc.contributor.author | Dreher, Michael | |
| dc.date.accessioned | 2011-03-22T17:48:56Z | deu |
| dc.date.available | 2011-03-22T17:48:56Z | deu |
| dc.date.issued | 2008 | deu |
| dc.description.abstract | We study the viscous model of quantum hydrodynamics in a bounded domain of space dimension 1, 2, or 3, and in the full one-dimensional space. This model is a mixed-order partial differential system with nonlocal and nonlinear terms for the particle density, current density, and electric potential. By a viscous regularization approach, we show existence and uniqueness of local in time solutions. We propose a reformulation as an equation of Schrödinger type, and we prove the inviscid limit. | |
| dc.description.version | published | |
| dc.identifier.doi | 10.1002/mma.918 | |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/805 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2009 | deu |
| dc.rights | terms-of-use | deu |
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| dc.subject.ddc | 510 | deu |
| dc.title | The transient equations of viscous quantum hydrodynamics | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Dreher2008trans-805,
year={2008},
doi={10.1002/mma.918},
title={The transient equations of viscous quantum hydrodynamics},
number={4},
volume={31},
issn={0170-4214},
journal={Mathematical Methods in the Applied Sciences},
pages={391--414},
author={Dreher, Michael}
} | |
| kops.citation.iso690 | DREHER, Michael, 2008. The transient equations of viscous quantum hydrodynamics. In: Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2008, 31(4), pp. 391-414. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.918 | deu |
| kops.citation.iso690 | DREHER, Michael, 2008. The transient equations of viscous quantum hydrodynamics. In: Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2008, 31(4), pp. 391-414. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.918 | eng |
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| kops.sourcefield | Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2008, <b>31</b>(4), pp. 391-414. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.918 | deu |
| kops.sourcefield.plain | Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2008, 31(4), pp. 391-414. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.918 | deu |
| kops.sourcefield.plain | Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2008, 31(4), pp. 391-414. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.918 | eng |
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