Instability of solutions to the Ginzburg-Landau equation on \(S^n\) and \(\mathbb{C} \mathbb{P}^n\)

DOI10.1016/j.jfa.2020.108669zbMath1450.35244arXiv1911.04097OpenAlexW3033301334MaRDI QIDQ2192344

Da Rong Cheng

Publication date: 17 August 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04097

zbMATH Keywords

second variationMorse indexGinzburg-Landau functionalstationary varifolds in codimension two

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Ginzburg-Landau equations (35Q56)

Related Items (3)

Stability and energy identity for Yang–Mills–Higgs pairs ⋮ Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors ⋮ Pattern-selective feedback stabilization of Ginzburg-Landau spiral waves

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