Vortices in the three-dimensional thin-film Ginzburg-Landau model of superconductivity

DOI10.1007/s00033-011-0122-7zbMath1258.35189OpenAlexW2058387278MaRDI QIDQ1938461

Dmitry Glotov

Publication date: 4 February 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0122-7

zbMATH Keywords

vorticesthin filmsGinzburg-Landau equations

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Superfluids (classical aspects) (76A25) Ginzburg-Landau equations (35Q56)

Cites Work

• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• A model for superconducting thin films having variable thickness
• Ginzburg-Landau minimizers near the first critical field have bounded vorticity
• Elliptic partial differential equations of second order
• Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions
• The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films
• Ginzburg-Landau equation with magnetic effect in a thin domain
• On Ginzburg-Landau vortices of superconducting thin films
• A model for variable thickness superconducting thin films
• Gauge Invariance in a Nonlinear Equation
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
• Critical Magnetic Field and Asymptotic Behavior of Superconducting Thin Films

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