Magnetic Ginzburg-Landau functional with discontinuous constraint

DOI10.1016/j.crma.2008.01.018zbMath1138.35087OpenAlexW2037985884MaRDI QIDQ2476531

Ayman Kachmar

Publication date: 20 March 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.01.018

zbMATH Keywords

vortex pinningGinzburg-Laudau functionaldiscontinuous constraint

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Electromagnetic theory (general) (78A25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Guiding structures with multiply connected cross sections: Evolution of propagation in external fields at complex Robin parameters ⋮ On a Ginzburg-Landau type energy with discontinuous constraint for high values of applied field ⋮ Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint ⋮ Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration ⋮ WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION

Cites Work

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• Pinning phenomena in the Ginzburg-Landau model of superconductivity
• Vortex pinning by inhomogeneities in type-II superconductors.
• On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition
• Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
• A Ginzburg–Landau type model of superconducting/normal junctions including Josephson junctions

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