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On the Gross-Pitaevskii equation for trapped dipolar quantum gases
Journal article   Peer reviewed

On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Remi Carles, Peter A. Markowich and Christof Sparber
Nonlinearity, Vol.21(11), pp.2569-2590
01/11/2008

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
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.

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