Cubic microlattices embedded in nematic liquid crystals: a Landau-de Gennes study

DOI10.1051/cocv/2021093zbMath1480.35174arXiv2006.08776OpenAlexW3202139207MaRDI QIDQ5016151

Razvan-Dumitru Ceuca

Publication date: 13 December 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08776

zbMATH Keywords

liquid crystalsLandau-de Gennes model

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Liquid crystals (76A15)

Cites Work

• Minimizers of the Landau-de Gennes energy around a spherical colloid particle
• Morse's index formula in VMO for compact manifolds with boundary
• Defects in nematic shells: a \(\Gamma\)-convergence discrete-to-continuum approach
• Spherical particle in nematic liquid crystal under an external field: the Saturn ring regime
• Variational analysis of nematic shells
• Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions
• Polydispersity and surface energy strength in nematic colloids
• Radial symmetry on three-dimensional shells in the Landau-de Gennes theory
• Weakly Differentiable Functions
• Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
• Order Reconstruction for Nematics on Squares with Isotropic Inclusions: A Landau--De Gennes Study
• An Effective Model for Nematic Liquid Crystal Composites with Ferromagnetic Inclusions
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