A quantization property for moving line vortices

Fang Hua Lin, Tristan Rivière

Research output: Contribution to journalArticlepeer-review


We prove that if the energy of a time-evolving three-dimensional Ginzburg-Landau configuration is small enough on a given parabolic ball, then no line vortex passes through the ball of half-radius.

Original languageEnglish (US)
Pages (from-to)826-850
Number of pages25
JournalCommunications on Pure and Applied Mathematics
Issue number7
StatePublished - Jul 2001

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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