On the Cauchy problem for nonlinear Schrödinger equations with rotation

Paolo Antonelli, Daniel Marahrens, Christof Sparber

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We 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.
Original languageEnglish (US)
Pages (from-to)703-715
Number of pages13
JournalDiscrete and Continuous Dynamical Systems
Volume32
Issue number3
DOIs
StatePublished - Oct 21 2011
Externally publishedYes

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