Stability of point defects of degree in a two-dimensional nematic liquid crystal model
We study k-radially symmetric solutions corresponding to topological defects of charge k 2 k
2 for integer k\not= 0 k≠ 0 in the Landau-de Gennes model describing liquid crystals in two …
2 for integer k\not= 0 k≠ 0 in the Landau-de Gennes model describing liquid crystals in two …
Asymptotics for Minimizers of Landau-de Gennes with Magnetic Field and Tangential Anchoring
L Bronsard, D Louizos, D Stantejsky - arXiv preprint arXiv:2410.09914, 2024 - arxiv.org
In this article we first prove existence of minimizers of the Landau-de Gennes energy for
liquid crystals with homogeneous external magnetic field and strong uniaxial planar …
liquid crystals with homogeneous external magnetic field and strong uniaxial planar …
On a Divergence Penalized Landau-de Gennes Model
L Bronsard, J Chen, L Mazzouza, D McDonald… - arXiv preprint arXiv …, 2024 - arxiv.org
We give a brief introduction to a divergence penalized Landau-de Gennes functional as a
toy model for the study of nematic liquid crystal with colloid inclusion, in the case of unequal …
toy model for the study of nematic liquid crystal with colloid inclusion, in the case of unequal …
Unique continuation for stationary and dynamical Q-tensor system of nematic liquid crystals in dimension three
S Ding, J Huang, J Lin - Journal of Differential Equations, 2021 - Elsevier
Unique continuation for stationary and dynamical Q-tensor system of nematic liquid crystals in
dimension three - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …
dimension three - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …
Geometric Variational Problems and Nematic Liquid Crystals
Z Geng - 2020 - search.proquest.com
Geometric Variational Problems and Nematic Liquid Crystals Page 1 Geometric Variational
Problems and Nematic Liquid Crystals by Zhiyuan Geng A dissertation submitted in partial …
Problems and Nematic Liquid Crystals by Zhiyuan Geng A dissertation submitted in partial …
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability
Z Geng, W Wang - Science China Mathematics, 2024 - Springer
We study radial symmetric point defects with degree k 2 in the 2-D disk or ℝ2 in the Q-tensor
framework with a singular bulk energy, which is defined by Bingham closure. First, we obtain …
framework with a singular bulk energy, which is defined by Bingham closure. First, we obtain …