Existence of steady stable solutions for the Ginzburg-Landau equation in a domain with nontrivial topology

DOI10.1090/S0002-9939-10-10225-1zbMath1190.35212OpenAlexW2029165928MaRDI QIDQ3559001

Norimichi Hirano

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10225-1

zbMATH Keywords

Ginzburg-Landau equationnontrivial topology of domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Semilinear elliptic equations (35J61) Ginzburg-Landau equations (35Q56)

Cites Work

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• Geometric theory of semilinear parabolic equations
• Ginzburg-Landau equation with magnetic effect: non-simply-connected domains
• Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect
• Ginzburg-Landau equation with magnetic effect in a thin domain
• Stable solutions with zeros to the Ginzburg-Landau equation with Neumann boundary condition
• Ginzburg-landau equation and stable steady state solutions in a non-trivial domain
• Finite bandwidth, finite amplitude convection
• Ginzburg-Landau vortices

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