On the uniqueness of minimisers of Ginzburg-Landau functionals

DOI10.24033/asens.2429zbMath1445.35011arXiv1708.05040OpenAlexW2749988495MaRDI QIDQ3304654

Luc Nguyen, Radu Ignat, Valeriy V. Slastikov, Arghir Zarnescu

Publication date: 3 August 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05040

zbMATH Keywords

harmonic maps

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Symmetries, invariants, etc. in context of PDEs (35B06) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Domain walls in the coupled Gross-Pitaevskii equations with the harmonic potential ⋮ Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires ⋮ Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds ⋮ Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization ⋮ Torus-like solutions for the Landau-de Gennes model. II: Topology of \(\mathbb{S}^1\)-equivariant minimizers ⋮ Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality ⋮ On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces ⋮ Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals