JournalsjemsVol. 9, No. 3pp. 383–426

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
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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.

Cite this article

Sylvia Serfaty, Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics. J. Eur. Math. Soc. 9 (2007), no. 3, pp. 383–426

DOI 10.4171/JEMS/84