@article{9fe11c0361e14149a60bab306814c515,
title = "On the Gross–Pitaevskii equation for trapped dipolar quantum gases",
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 Schr{\"o}dinger equation. {\textcopyright} 2008 IOP Publishing Ltd and London Mathematical Society.",
author = "R{\'e}mi Carles and Markowich, {Peter A.} and Christof Sparber",
note = "KAUST Repository Item: Exported on 2020-10-01 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. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",
year = "2008",
month = sep,
day = "29",
doi = "10.1088/0951-7715/21/11/006",
language = "English (US)",
volume = "21",
pages = "2569--2590",
journal = "Nonlinearity",
issn = "0951-7715",
publisher = "IOP Publishing",
number = "11",
}