On the Ginzburg-Landau model of a superconducting ball in a uniform field

DOI10.1016/j.anihpc.2005.03.004zbMath1293.58006OpenAlexW2016716110MaRDI QIDQ2490955

José Alberto Montero, Lia Bronsard, Stanley Alama

Publication date: 18 May 2006

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_2_237_0

zbMATH Keywords

rectifiable currentscalculus of variationselliptic partial differential equationssuperconductivity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (15)

Critical points via \(\Gamma \)-convergence: general theory and applications ⋮ Vortex-filaments for inhomogeneous superconductors in three dimensions ⋮ A linear finite-difference scheme for approximating randers distances on cartesian grids ⋮ Bounded vorticity for the 3D Ginzburg–Landau model and an isoflux problem ⋮ Vortex density models for superconductivity and superfluidity ⋮ Hodge decomposition with degenerate weights and the Gross-Pitaevskii energy ⋮ Variational Principles of Micromagnetics Revisited ⋮ Three dimensional vortex approximation construction and \({\epsilon}\)-level estimates for the Ginzburg-Landau functional ⋮ The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase ⋮ On the first critical field in the three dimensional Ginzburg-Landau model of superconductivity ⋮ The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional Part I: Bulk Regime ⋮ Vortices for a rotating toroidal Bose-Einstein condensate ⋮ \(\Gamma\)-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds ⋮ On the first critical field in Ginzburg-Landau theory for thin shells and manifolds ⋮ First Critical Field of Highly Anisotropic Three-Dimensional Superconductors via a Vortex Density Model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ginzburg-Landau minimizers near the first critical field have bounded vorticity
• Properties of a single vortex solution in a rotating Bose-Einstein condensate.
• Nonlinear Hodge theory on manifolds with boundary
• Elliptic partial differential equations of second order
• The Jacobian and the Ginzburg-Landau energy
• Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions
• A product-estimate for Ginzburg-Landau and corollaries
• Vortices for a variational problem related to superconductivity
• Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
• Change of variables for absolutely continuous functions
• Lines vortices in the U(1) - Higgs model
• Local minimisers and singular perturbations
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
• Local minimizers with vortices to the Ginzburg-Landau system in three dimensions
• LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART II
• Ginzburg-Landau minimizers from R^{n+1} to R^n and minimal connections
• BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION
• Variational convergence for functionals of Ginzburg-Landau type
• Ginzburg-Landau vortices
• Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions

This page was built for publication: On the Ginzburg-Landau model of a superconducting ball in a uniform field