On the Gross–Pitaevskii equation for trapped dipolar quantum gases

Type
Article

Authors
Carles, Rémi
Markowich, Peter A.
Sparber, Christof

Online Publication Date
2008-09-29

Print Publication Date
2008-11-01

Date
2008-09-29

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.

Acknowledgements
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.

Publisher
IOP Publishing

Journal
Nonlinearity

DOI
10.1088/0951-7715/21/11/006

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