Abstract
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 contribution | Vortical nucleation solutions in a model of superflow |
|---|---|
| Original language | French |
| Pages (from-to) | 195-202 |
| Number of pages | 8 |
| Journal | Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie |
| Volume | 325 |
| Issue number | 4 |
| State | Published - 1997 |
Keywords
- Critical velocity
- Nucleation
- Saddle-node bifurcation
- Superfluidity
- Vortex
ASJC Scopus subject areas
- Chemistry(all)
- Physics and Astronomy(all)