Abstract
We study the dynamics of multi-vortex configurations to the Ginzburg-Landau dissipative/gradient flow equations with external potential in . We show that for initial data close to the widely spaced multi-vortex configurations, the effective dynamics of the vortex centres are governed by the inter-vortex forces and by external potential forces for weak and strong external potentials, respectively.
| Original language | English |
|---|---|
| Pages (from-to) | 179-210 |
| Number of pages | 32 |
| Journal | Nonlinearity |
| Volume | 23 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2010 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics