Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow Part II: The dynamics

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. © European Mathematical Society 2007.