Abstract
We deduce from the first part of this paper [S1] estimates on the energy-dissipation rates for solutions of the Ginzburg-Landau heat flow, which allow us to study various phenomena occurring in this flow, including vortex collisions; they allow in particular extending the dynamical law of vortices past collision times.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 383-426 |
| Number of pages | 44 |
| Journal | Journal of the European Mathematical Society |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2007 |
Keywords
- Ginzburg-landau equation
- Ginzburg-landau vortices
- Vortex collisions
- Vortex dynamics
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics