Effective dynamics of multi-vortices in an external potential for the Ginzburg-Landau gradient flow

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Abstract

We study the dynamics of multi-vortex configurations to the Ginzburg-Landau dissipative/gradient flow equations with external potential in . We show that for initial data close to the widely spaced multi-vortex configurations, the effective dynamics of the vortex centres are governed by the inter-vortex forces and by external potential forces for weak and strong external potentials, respectively.

Original languageEnglish
Pages (from-to)179-210
Number of pages32
JournalNonlinearity
Volume23
Issue number1
DOIs
Publication statusPublished - Jan 2010
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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