Periodic minimizers of the anisotropic Ginzburg-Landau model

DOI10.1007/s00526-009-0234-5zbMath1180.35494OpenAlexW2072152489MaRDI QIDQ1047925

Lia Bronsard, Etienne Sandier, Stanley Alama

Publication date: 8 January 2010

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-009-0234-5

zbMATH Keywords

minimizersGinzburg-Landau model\(\Gamma \)-convergencecritical field

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45) Variational principles of physics (49S05) Ginzburg-Landau equations (35Q56)

Related Items (5)

On stability of Abrikosov vortex lattices ⋮ Abrikosov vortex lattices at weak magnetic fields ⋮ Minimizers of the Lawrence-Doniach functional with oblique magnetic fields ⋮ On the Lawrence-Doniach model of superconductivity: magnetic fields parallel to the axes ⋮ Differential equations of quantum mechanics

Cites Work

• Vortices in the magnetic Ginzburg-Landau model
• Connections with \(L^ p \)bounds on curvature
• The Jacobian and the Ginzburg-Landau energy
• A product-estimate for Ginzburg-Landau and corollaries
• Vortex analysis of the periodic Ginzburg-Landau model
• Modeling and Analysis of a Periodic Ginzburg–Landau Model for Type-II Superconductors
• On the Lawrence–Doniach and Anisotropic Ginzburg–Landau Models for Layered Superconductors
• Analysis of Solutions to the Lawrence--Doniach System for Layered Superconductors

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