Stable solutions with zeros to the Ginzburg-Landau equation with Neumann boundary condition

DOI10.1006/jdeq.1996.0107zbMath0853.35119OpenAlexW2028885574MaRDI QIDQ1919802

Yoshihisa Morita, Shuichi Jimbo

Publication date: 5 January 1997

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0107

zbMATH Keywords

Ginzburg-Landau equationstable solutionsmixed state of superconductingnon-trivial domain

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Statistical mechanics of superconductors (82D55)

Related Items (9)

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 ⋮ Stability of solutions to the ginzburg-landau equation with neumann condition ⋮ On the existence of nontrivial stable solutions to the Ginzburg-Landau equation ⋮ Existence of stable subharmonic solutions for reaction-diffusion equations ⋮ Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system ⋮ Stable solutions to the Ginzburg-Landau equation with magnetic effect in thin domain ⋮ Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition ⋮ Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk

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