On the Bifurcation and Stability of Periodic Solutions of the Ginzburg--Landau Equations in the Plane

DOI10.1137/S0036139999353693zbMath0967.82013OpenAlexW2038148097MaRDI QIDQ4507285

Yaniv Almog

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139999353693

zbMATH Keywords

stabilityperiodic solutionsbifurcationsuperconductivityGinzburg-Landau modelAbrikosov model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55)

Related Items (13)

Abrikosov lattices in finite domains ⋮ Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates ⋮ On Abrikosov lattice solutions of the Ginzburg-Landau equations ⋮ The loss of stability of surface superconductivity ⋮ Bifurcations of nonconstant solutions of the Ginzburg-Landau equation ⋮ On stability of Abrikosov vortex lattices ⋮ Abrikosov vortex lattices at weak magnetic fields ⋮ A remark on global bifurcations of solutions of Ginzburg-Landau equation ⋮ NONLINEAR SURFACE SUPERCONDUCTIVITY IN THE LARGE κ LIMIT ⋮ Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings ⋮ Vortex analysis of the periodic Ginzburg-Landau model ⋮ On the variations of the vortex number in a periodic Ginzburg-Landau model ⋮ Emergence of the triangular lattice near a flat wall

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