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

Sylvia Serfaty

doi:10.1142/S0219199799000134

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

Sylvia Serfaty

Mathematics

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

Abstract

As in Part I, we study local minimizers of the Ginzburg-Landau energy (depending on κ → +∞) for superconductors in a prescribed magnetic field h_ex. For disc domains, we find and describe stable solutions of the associated equations and show how vortices appear as h_ex is raised from the first critical field H_c1. We also study the asymptotic limit κ → ∞ for h_ex = H_c1 and prove that the limiting magnetic field in the superconductor satisfies the London equation.

Original language	English (US)
Pages (from-to)	295-333
Number of pages	39
Journal	Communications in Contemporary Mathematics
Volume	1
Issue number	3
DOIs	https://doi.org/10.1142/S0219199799000134
State	Published - Aug 1999

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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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.",

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year = "1999",

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AB - 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.

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

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