Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation

Sylvia Serfaty

doi:10.1007/s002050050177

Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation

Sylvia Serfaty

Mathematics

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

Abstract

We find new stable solutions of the Ginzburg-Landau equation for high κ superconductors with exterior magnetic field h_ex. First, we prove the uniqueness of the Meissner-type solution. Then, we prove, in the case of a disc domain, the coexistence of branches of solutions with n vortices of degree one, for any n not too high and for a certain range of h_ex; and describe these branches. Finally, we give an estimate on the nucleation energy barrier, to pass continuously from a vortexless configuration to a configuration with a centered vortex.

Original language	English (US)
Pages (from-to)	329-365
Number of pages	37
Journal	Archive for Rational Mechanics and Analysis
Volume	149
Issue number	4
DOIs	https://doi.org/10.1007/s002050050177
State	Published - Dec 18 1999

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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