Ginzburg-Landau equation with magnetic effect: non-simply-connected domains

DOI10.2969/jmsj/05030663zbMath0912.58011OpenAlexW2009093221MaRDI QIDQ1266249

Jian Zhai, Shuichi Jimbo

Publication date: 16 September 1998

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05030663

zbMATH Keywords

local minimizerGinzburg-Landau energy functionallow-temperature superconductivity

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (8)

LOCAL MINIMIZERS WITH VORTEX PINNING FOR A GINZBURG–LANDAU FUNCTIONAL FOR SUPERCONDUCTING HOLLOW SPHERES ⋮ Vortex pinning with bounded fields for the Ginzburg-Landau equation. ⋮ Local minimizers with vortex pinning to Ginzburg-Landau functional in three dimensions ⋮ Existence of steady stable solutions for the Ginzburg-Landau equation in a domain with nontrivial topology ⋮ On the existence of nontrivial stable solutions to the Ginzburg-Landau equation ⋮ Stable solutions to the Ginzburg-Landau equation with magnetic effect in thin domain ⋮ Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions ⋮ Instability in a geometric parabolic equation on convex domain instability on convex domain.

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