On the structure of fractional degree vortices in a spinor Ginzburg-Landau model

DOI10.1016/j.jfa.2008.10.021zbMath1159.35070OpenAlexW2003411872MaRDI QIDQ1002226

Petru Mironescu, Lia Bronsard, Stanley Alama

Publication date: 25 February 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.10.021

zbMATH Keywords

vorticesGinzburg-Landau model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55)

Related Items (6)

Vortex structure in p-wave superconductors ⋮ Paths to uniqueness of critical points and applications to partial differential equations ⋮ Stability of symmetric vortices for two-component Ginzburg-Landau systems ⋮ Symmetric vortices for two-component \(p\)-Ginzburg-Landau systems ⋮ On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system ⋮ Stable solitary waves with prescribed \(L^2\)-mass for the cubic Schrödinger system with trapping potentials

Cites Work

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• Des vortex fractionnaires pour un modèle Ginzburg--Landau spineur. (Half degree vortices for a spin-coupled Ginzburg--Landau model)
• Uniqueness of symmetric vortex solutions in the Ginzburg-Landau model superconductivity
• Vortex structures for an SO(5) model of high-T_C superconductivity and antiferromagnetism
• Remarks on sublinear elliptic equations
• FRACTIONAL DEGREE VORTICES FOR A SPINOR GINZBURG–LANDAU MODEL
• Ginzburg-Landau vortices

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