Rémi Carles et al 2008 Nonlinearity 21 2569 doi:10.1088/0951-7715/21/11/006
Rémi Carles1, Peter A Markowich2 and Christof Sparber2
Show affiliationsRecommended by C P Dettmann
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.
03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
Quantum gases, liquids and solids
Issue 11 (November 2008)
Received 5 May 2008, in final form 19 August 2008
Published 29 September 2008
Rémi Carles et al 2008 Nonlinearity 21 2569
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