On a model of rotating superfluids

Sylvia Serfaty

Research output: Contribution to journalArticlepeer-review


We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energyminimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.

Original languageEnglish (US)
Pages (from-to)201-238
Number of pages38
JournalESAIM - Control, Optimisation and Calculus of Variations
StatePublished - Jan 2001


  • Gross-Pitaevskii equations
  • Superfluids
  • Vortices

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics


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