On the Gross–Pitaevskii equation for trapped dipolar quantum gases

Rémi Carles, Peter A. Markowich, Christof Sparber

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)2569-2590
Number of pages22
JournalNonlinearity
Volume21
Issue number11
DOIs
StatePublished - Sep 29 2008
Externally publishedYes

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