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dc.contributor.authorAntonelli, Paolo
dc.contributor.authorMarahrens, Daniel
dc.contributor.authorSparber, Christof
dc.date.accessioned2016-02-25T13:51:49Z
dc.date.available2016-02-25T13:51:49Z
dc.date.issued2011-10-21
dc.identifier.citationAntonelli, P., Marahrens, D., & Sparber, C. (2012). On the Cauchy problem for nonlinear Schrödinger equations with rotation. Discrete & Continuous Dynamical Systems - A, 32(3), 703–715. doi:10.3934/dcds.2012.32.703
dc.identifier.issn1078-0947
dc.identifier.doi10.3934/dcds.2012.32.703
dc.identifier.urihttp://hdl.handle.net/10754/599046
dc.description.abstractWe consider the Cauchy problem for (energy-subcritical) nonlinear Schrödinger equations with sub-quadratic external potentials and an additional angular momentum rotation term. This equation is a well-known model for superuid quantum gases in rotating traps. We prove global existence (in the energy space) for defocusing nonlinearities without any restriction on the rotation frequency, generalizing earlier results given in [11, 12]. Moreover, we find that the rotation term has a considerable in fiuence in proving finite time blow-up in the focusing case.
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-I1-007-43, funded by the King Abdullah University of Science and Technology (KAUST). C. S. acknowledges support by the Royal society through his University research fellowship. D. M. acknowledges support by the Cambridge European Trust and the EPSRC.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectBose-Einstein condensation
dc.subjectFiangular momentum operator
dc.subjectFinite time blow-up.
dc.subjectNonlinear Schrödinger equation
dc.subjectRotation
dc.titleOn the Cauchy problem for nonlinear Schrödinger equations with rotation
dc.typeArticle
dc.identifier.journalDiscrete and Continuous Dynamical Systems
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdom
dc.contributor.institutionUniversity of Illinois at Chicago, Chicago, United States
dc.date.published-online2011-10-21
dc.date.published-print2012


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