Existence and non-existence of solutions to the Ginzburg-Landau equations in a semi-infinite superconducting film

DOI10.1090/S0033-569X-04-00943-7zbMath1083.82033OpenAlexW2003852855MaRDI QIDQ5464382

Yaniv Almog

Publication date: 17 August 2005

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154625

zbMATH Keywords

existenceGinzburg-Landau systemasymptotic analysis

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Statistical mechanics of superconductors (82D55) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
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• Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
• Normal/superconducting transitions in Landau–Ginzburg theory
• Asymptotic analysis of the one-dimensional Ginzburg-Landau equations near self-duality
• Onset of superconductivity in decreasing fields for general domains
• Eigenvalue problems of Ginzburg–Landau operator in bounded domains
• Asymptotic analysis of the Ginzburg-Landau model of superconductivity: reduction to a free boundary model
• Ordinary Differential Equations
• Boundary concentration for eigenvalue problems related to the onset of superconductivity

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