A quantization property for static Ginzburg-Landau vortices

Lin Fang-Hua, Tristan Rivière

Research output: Contribution to journalArticle

Abstract

For any critical point of the complex Ginzburg-Landau functional in dimension 3, we prove that, for large coupling constants, κ = 1/ε; if the energy of this critical point on a ball of a given radius r is relatively small compared to r log r/ε, then the ball of half-radius contains no vortex (the modulus of the solution is larger than 1/2). We then show how this property can be applied to describe limiting vortices as ε → 0.

Original languageEnglish (US)
Pages (from-to)206-228
Number of pages23
JournalCommunications on Pure and Applied Mathematics
Volume54
Issue number2
DOIs
StatePublished - Feb 1 2001

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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