Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I

Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

We find local minimizers of the two-dimensional Ginzburg-Landau functional depending on a large parameter κ, which describe the behavior of a superconductor in a prescribed exterior magnetic field hex. We prove an estimate on the critical value Hc1 of hex(κ), corresponding to the first phase-transition in which vortices appear in the superconductor; and we locate these vortices.

Original languageEnglish (US)
Pages (from-to)213-254
Number of pages42
JournalCommunications in Contemporary Mathematics
Volume1
Issue number2
DOIs
StatePublished - May 1999

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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