Stability and instability properties of rotating Bose–Einstein condensates

  • Jack ArbunichEmail author
  • Irina Nenciu
  • Christof Sparber


We consider the mean-field dynamics of Bose–Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in which the trap is symmetric with respect to the rotation axis and the one where this is not the case.


Bose–Einstein condensate Gross–Pitaevskii equation Rotation Vortices 

Mathematics Subject Classification

35Q41 35B35 35B07 


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Statistics, and Computer Science, M/C 249University of Illinois at ChicagoChicagoUSA
  2. 2.Institute of Mathematics “Simion Stoilow” of the Romanian AcademyBucharestRomania

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