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

Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

As in Part I, we study local minimizers of the Ginzburg-Landau energy (depending on κ → +∞) for superconductors in a prescribed magnetic field hex. For disc domains, we find and describe stable solutions of the associated equations and show how vortices appear as hex is raised from the first critical field Hc1. We also study the asymptotic limit κ → ∞ for hex = Hc1 and prove that the limiting magnetic field in the superconductor satisfies the London equation.

Original languageEnglish (US)
Pages (from-to)295-333
Number of pages39
JournalCommunications in Contemporary Mathematics
Volume1
Issue number3
StatePublished - Aug 1999

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Local Minimizer
Ginzburg-Landau
Superconductor
Superconducting materials
Magnetic Field
Magnetic fields
Asymptotic Limit
Stable Solution
Energy
Vortex
Vortex flow
Limiting

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Local minimizers for the Ginzburg-Landau energy near critical magnetic field : Part II. / Serfaty, Sylvia.

In: Communications in Contemporary Mathematics, Vol. 1, No. 3, 08.1999, p. 295-333.

Research output: Contribution to journalArticle

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