On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Authors :: Peter A. Markowich
Rémi Carles
Christof Sparber
Institut de Mathématiques et de Modélisation de Montpellier (I3M)
Centre National de la Recherche Scientifique (CNRS)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)
Department of Applied Mathematics and Theoretical Physics (DAMTP)
University of Cambridge [UK] (CAM)
'KAUST Investigator Award' (P. Markowich). 'Wolfson Research Merit Award' of the Royal Society (P. Markowich). 'APART grant' of the Austrian Academy of Science (C. Sparber).
ANR-05-BLAN-0163,SCASEN,Singularités et comportement asymptotique des solutions d'Euler et de Navier-Stokes(2005)
Source :: Nonlinearity, Nonlinearity, IOP Publishing, 2008, 21, pp.2569-2590. ⟨10.1088/0951-7715/21/11/006⟩
Publication Year :: 2008
Publisher :: HAL CCSD, 2008.
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 Schrodinger equation.<br />21 pages

Language :: English
ISSN :: 09517715 and 13616544
Database :: OpenAIRE
Journal :: Nonlinearity, Nonlinearity, IOP Publishing, 2008, 21, pp.2569-2590. ⟨10.1088/0951-7715/21/11/006⟩
Accession number :: edsair.doi.dedup.....6a6c9c24c453446d1f8215f04eb7d0c0
Full Text :: https://doi.org/10.1088/0951-7715/21/11/006⟩