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

Etienne Sandier; Sylvia Serfaty

doi:10.1016/S0294-1449(99)00106-7

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

Etienne Sandier, Sylvia Serfaty

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	119-145
Number of pages	27
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/S0294-1449(99)00106-7
State	Published - Jan 2000

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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10.1016/S0294-1449(99)00106-7

Cite this

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title = "Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field",

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).",

author = "Etienne Sandier and Sylvia Serfaty",

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

Abstract

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