Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field

Résumé

We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitatively that the close-to-minimal energy is asymptotically concentrated on lines and surfaces nearby or on the particle. We also discuss regularity of minimizers and optimality conditions for the limit energy.
Fichier principal
Vignette du fichier
LC_SR_1particle.pdf (829.35 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03583697 , version 1 (22-02-2022)
hal-03583697 , version 2 (23-11-2022)
hal-03583697 , version 3 (17-11-2023)
hal-03583697 , version 4 (02-04-2024)

Identifiants

  • HAL Id : hal-03583697 , version 1

Citer

François Alouges, Antonin Chambolle, Dominik Stantejsky. Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field. 2022. ⟨hal-03583697v1⟩
333 Consultations
90 Téléchargements

Partager

More