JournalsjemsVol. 9 , No. 3DOI 10.4171/jems/84

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

  • Sylvia Serfaty

    Université Pierre et Marie Curie (Paris VI), France
Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics cover

Abstract

We deduce from the first part of this paper \cite{part1} estimates on the energy-dissipation rates for solutions of the Ginzburg-Landau heat-flow, which allow to study various phenomena occurring in this flow, among which vortex-collisions; allowing in particular to extend the dynamical law of vortices passed collisions.