Solutions de nucléation tourbillonnaires dans un modèle d'écoulement superfluide

Translated title of the contribution: Vortical nucleation solutions in a model of superflow

Cristián Huepe*, Marc Étienne Brachet

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


Stable and unstable (nucleation) stationary solutions of the non-linear Schrödinger equation, describing super-flow around a disc, are numerically computed. The stable branch and the unstable branch are connected through a saddle-node bifurcation. The unstable branch generates, through a pitchfork bifurcation, solutions that are asymmetric with respect to the diameter of the disc. The symmetric and asymmetric nucleation solutions contain, respectively, two or one vortices that emerge from the disc at sub-critical velocities.

Translated title of the contributionVortical nucleation solutions in a model of superflow
Original languageFrench
Pages (from-to)195-202
Number of pages8
JournalComptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie
Issue number4
StatePublished - 1997


  • Critical velocity
  • Nucleation
  • Saddle-node bifurcation
  • Superfluidity
  • Vortex

ASJC Scopus subject areas

  • Chemistry(all)
  • Physics and Astronomy(all)


Dive into the research topics of 'Vortical nucleation solutions in a model of superflow'. Together they form a unique fingerprint.

Cite this