Thin film liquid crystals with oblique anchoring and boojums

DOI10.1016/j.anihpc.2020.02.002zbMath1446.76066arXiv1907.04757OpenAlexW3012083748MaRDI QIDQ2188108

Dmitry Golovaty, Lia Bronsard, Stanley Alama

Publication date: 3 June 2020

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04757

zbMATH Keywords

variational problemLandau-de Gennes energyboundary defectboundary penalizationinterior defect

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Variational methods applied to problems in fluid mechanics (76M30) Liquid crystals (76A15)

Related Items (5)

On minimizers of the 2D Ginzburg-Landau energy with tangential anchoring ⋮ Boundary Vortex Formation in Polarization-Modulated Orthogonal Smectic Liquid Crystals ⋮ The micromagnetic energy with Dzyaloshinskii-Moriya interaction in a thin-film regime relevant for boundary vortices ⋮ Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices ⋮ A Variational Method for Generating $n$-Cross Fields Using Higher-Order $Q$-Tensors

Uses Software

• COMSOL

Cites Work

• Unnamed Item
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• Dimension reduction for the Landau-de Gennes model on curved nematic thin films
• Saturn ring defect around a spherical particle immersed in a nematic liquid crystal
• Analysis of nematic liquid crystals with disclination lines
• Weak anchoring for a two-dimensional liquid crystal
• Boundary vortices in thin magnetic films
• Lower Bounds for Generalized Ginzburg--Landau Functionals
• A reduced theory for thin-film micromagnetics
• Ginzburg-Landau vortices

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