Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field

Etienne Sandier, Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

We prove that the global minimizer of the Ginzburg-Landau functional of superconductors in an external magnetic field is, below the first critical field, the vortex-less solution found in (S. Serfaty, to appear).

Original languageEnglish (US)
Pages (from-to)119-145
Number of pages27
JournalAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume17
Issue number1
StatePublished - 2000

Fingerprint

Ginzburg-Landau Functional
Global Minimizer
Superconductor
Superconducting materials
External Field
Vortex
Vortex flow
Magnetic Field
Magnetic fields

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field. / Sandier, Etienne; Serfaty, Sylvia.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 17, No. 1, 2000, p. 119-145.

Research output: Contribution to journalArticle

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