On the Gross-Pitaevskii equation for trapped dipolar quantum gases

Rémi Carles*, Peter A. Markowich, Christof Sparber

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

68 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.

Original languageEnglish (US)
Pages (from-to)2569-2590
Number of pages22
JournalNonlinearity
Volume21
Issue number11
DOIs
StatePublished - Nov 1 2008
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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