Abstract
Making use of the knowledge of the motions of three point vortices in a planar incompressible flow, which are integrable, we investigate the motions of three-point vortices in a half-plane as perturbations of the original integrable system. Numerical investigations are carried out to show whether the perturbations will remain small or will diverge, respectively, from those corresponding to stable or unstable critical points of the original ones.
| Original language | English (US) |
|---|---|
| Title of host publication | 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics |
| Pages | 594-597 |
| Number of pages | 4 |
| State | Published - 2005 |
| Externally published | Yes |
| Event | 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States Duration: Jun 14 2005 → Jun 17 2005 |
Other
| Other | 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics |
|---|---|
| Country/Territory | United States |
| City | Boston, MA |
| Period | 06/14/05 → 06/17/05 |
Keywords
- Integrable system
- Perturbation
- Stability
- Three point vortices
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Computational Mathematics