Article Dans Une Revue Annales de l'Institut Henri Poincaré (C), Analyse non linéaire (Nonlinear Analysis) Année : 2023

Generation of vortices in the Ginzburg–Landau heat flow

Résumé

We consider the Ginzburg–Landau heat flow on the flat two-dimensional torus, starting from initial data with a finite number of nondegenerate zeros – but very high initial energy. We show that the initial zeros are conserved, while away from these zeros the modulus quickly grows close to 1, and the flow rapidly enters a logarithmic energy regime, from which the evolution of vortices can be described by the works of Bethuel, Orlandi and Smets.

Mots clés

Fichier principal
Vignette du fichier
2211.15773v1.pdf (384.01 Ko) Télécharger le fichier
Origine Publication financée par une institution
Licence

Dates et versions

hal-04188293 , version 1 (07-01-2025)

Licence

Identifiants

Citer

Michał Kowalczyk, Xavier Lamy. Generation of vortices in the Ginzburg–Landau heat flow. Annales de l'Institut Henri Poincaré (C), Analyse non linéaire (Nonlinear Analysis), 2023, 41 (6), pp.1509-1526. ⟨10.4171/aihpc/96⟩. ⟨hal-04188293⟩
83 Consultations
48 Téléchargements

Altmetric

Partager

  • More