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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics