On the Gross–Pitaevskii equation for trapped dipolar quantum gases

Handle URI:
http://hdl.handle.net/10754/599055
Title:
On the Gross–Pitaevskii equation for trapped dipolar quantum gases
Authors:
Carles, Rémi; Markowich, Peter A; Sparber, Christof
Abstract:
We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension reduction for this nonlinear and nonlocal Schrödinger equation. © 2008 IOP Publishing Ltd and London Mathematical Society.
Citation:
Carles R, Markowich PA, Sparber C (2008) On the Gross–Pitaevskii equation for trapped dipolar quantum gases. Nonlinearity 21: 2569–2590. Available: http://dx.doi.org/10.1088/0951-7715/21/11/006.
Publisher:
IOP Publishing
Journal:
Nonlinearity
Issue Date:
29-Sep-2008
DOI:
10.1088/0951-7715/21/11/006
Type:
Article
ISSN:
0951-7715; 1361-6544
Sponsors:
This work has been supported by the KAUST Investigator Award of P Markowich. RC is partially supported by the ANR project SCASEN. PM acknowledges support from the Royal Society through his Wolfson Research Merit Award. CS has been supported by the APART grant of the Austrian Academy of Science.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorCarles, Rémien
dc.contributor.authorMarkowich, Peter Aen
dc.contributor.authorSparber, Christofen
dc.date.accessioned2016-02-25T13:51:59Zen
dc.date.available2016-02-25T13:51:59Zen
dc.date.issued2008-09-29en
dc.identifier.citationCarles R, Markowich PA, Sparber C (2008) On the Gross–Pitaevskii equation for trapped dipolar quantum gases. Nonlinearity 21: 2569–2590. Available: http://dx.doi.org/10.1088/0951-7715/21/11/006.en
dc.identifier.issn0951-7715en
dc.identifier.issn1361-6544en
dc.identifier.doi10.1088/0951-7715/21/11/006en
dc.identifier.urihttp://hdl.handle.net/10754/599055en
dc.description.abstractWe study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension reduction for this nonlinear and nonlocal Schrödinger equation. © 2008 IOP Publishing Ltd and London Mathematical Society.en
dc.description.sponsorshipThis work has been supported by the KAUST Investigator Award of P Markowich. RC is partially supported by the ANR project SCASEN. PM acknowledges support from the Royal Society through his Wolfson Research Merit Award. CS has been supported by the APART grant of the Austrian Academy of Science.en
dc.publisherIOP Publishingen
dc.titleOn the Gross–Pitaevskii equation for trapped dipolar quantum gasesen
dc.typeArticleen
dc.identifier.journalNonlinearityen
dc.contributor.institutionUniversite Montpellier 2 Sciences et Techniques, Montpellier, Franceen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
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