Stable solutions of the Ginzburg-Landau equation with magnetic field

Sylvia Serfaty

doi:10.1016/s0764-4442(98)80120-1

Stable solutions of the Ginzburg-Landau equation with magnetic field

Sylvia Serfaty

Mathematics

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

Abstract

We study the Ginzburg-Landau equation near the first critical magnetic field H_c1. We prove an estimate on the value of this field, and we find branches of stable solutions of the equation for which we show that vortices appear while passing H_c1.

Original language	English (US)
Pages (from-to)	949-954
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	326
Issue number	8
DOIs	https://doi.org/10.1016/s0764-4442(98)80120-1
State	Published - Apr 1998

ASJC Scopus subject areas

General Mathematics

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10.1016/s0764-4442(98)80120-1

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title = "Stable solutions of the Ginzburg-Landau equation with magnetic field",

abstract = "We study the Ginzburg-Landau equation near the first critical magnetic field Hc1. We prove an estimate on the value of this field, and we find branches of stable solutions of the equation for which we show that vortices appear while passing Hc1.",

author = "Sylvia Serfaty",

year = "1998",

month = apr,

doi = "10.1016/s0764-4442(98)80120-1",

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Stable solutions of the Ginzburg-Landau equation with magnetic field

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