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

Sylvia Serfaty

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)383-426
Number of pages44
JournalJournal of the European Mathematical Society
Volume9
Issue number3
DOIs
StatePublished - 2007

Keywords

  • Ginzburg-landau equation
  • Ginzburg-landau vortices
  • Vortex collisions
  • Vortex dynamics

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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