Mixed vortex-antivortex solutions of Ginzburg-Landau equations

DOI10.1007/BF00376813zbMath0851.35128MaRDI QIDQ1912924

Fang-Hua Lin

Publication date: 22 May 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Ginzburg-Landau equationrenormalized energygap phenomenonheat-flow methodvortex-antivortex solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60)

Related Items (6)

Variational reduction for Ginzburg-Landau vortices ⋮ Dynamics of point defects in nematic liquid crystals ⋮ Vortex rings for the Gross-Pitaevskii equation in \(\mathbb R^3\) ⋮ Integer-squared laws for global vortices in the Born-Infeld wave equations ⋮ Asymptotic behavior of critical points of an energy involving a loop-well potential ⋮ Multiple solutions for a generalized Chern-Simons equation on graphs

Cites Work

• Vortices in complex scalar fields
• On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
• A remark on \(H^ 1\) mappings
• Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
• On the Zeros of Solutions to Ginzburg–Landau Type Systems

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