Ginzburg–Landau Equations and Stable Solutions in a Rotational Domain

DOI10.1137/0527075zbMath0865.35016OpenAlexW2022870928MaRDI QIDQ4897005

Shuichi Jimbo, Yoshihisa Morita

Publication date: 3 December 1996

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0527075

zbMATH Keywords

rotational solutionsstable solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55)

Related Items (14)

Ginzburg-Landau minimizers with prescribed degrees. capacity of the domain and emergence of vortices ⋮ Vortex pinning with bounded fields for the Ginzburg-Landau equation. ⋮ Ginzburg-landau equation and stable steady state solutions in a non-trivial domain ⋮ Ginzburg--Landau minimizers with prescribed degrees: Dependence on domain. ⋮ Local minimizers with vortex pinning to Ginzburg-Landau functional in three dimensions ⋮ Stability of solutions to the ginzburg-landau equation with neumann condition ⋮ 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 ⋮ Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition ⋮ Nonexistence of Ginzburg-Landau minimizers with prescribed degree on the boundary of a doubly connected domain ⋮ Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk ⋮ Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate ⋮ Pinning effects and their breakdown for a Ginzburg–Landau model with normal inclusions

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