Uniform profile near the point defect of Landau-de Gennes model
Z Geng, A Zarnescu - Calculus of Variations and Partial Differential …, 2023 - Springer
Abstract For the Landau-de Gennes functional on 3D domains, I ε (Q, Ω):=∫ Ω 1 2|∇ Q| 2+ 1
ε 2-a 2 2 tr (Q 2)-b 2 3 tr (Q 3)+ c 2 4 [tr (Q 2)] 2 dx, it is well-known that under suitable …
ε 2-a 2 2 tr (Q 2)-b 2 3 tr (Q 3)+ c 2 4 [tr (Q 2)] 2 dx, it is well-known that under suitable …
Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential
Y Liu, XY Lu, X Xu - SIAM Journal on Mathematical Analysis, 2021 - SIAM
In this paper we study a gradient flow generated by the Landau--de Gennes free energy that
describes nematic liquid crystal configurations in the space of Q-tensors. This free energy …
describes nematic liquid crystal configurations in the space of Q-tensors. This free energy …
Blowup rate estimates of a singular potential and its gradient in the Landau-de Gennes theory
In this paper, we revisit a singular bulk potential in the Landau-de Gennes free energy that
describes nematic liquid crystal configurations in the framework of the Q-tensor order …
describes nematic liquid crystal configurations in the framework of the Q-tensor order …
[PDF][PDF] Numerical analysis for constrained and unconstrained 𝑄-tensor energies for liquid crystals
H Gimperlein, RR Maity - 2024 - mat1.uibk.ac.at
This paper introduces a comprehensive finite element approximation framework for
threedimensional Landau-de Gennes 𝑄-tensor energies for nematic liquid crystals, with a …
threedimensional Landau-de Gennes 𝑄-tensor energies for nematic liquid crystals, with a …
Regularity of Minimizers for a General Class of Constrained Energies in Two-Dimensional Domains with Applications to Liquid Crystals
P Bauman, D Phillips - Research in Mathematics of Materials Science, 2022 - Springer
We investigate minimizers defined on a bounded domain Ω in ℝ 2 for singular constrained
energy functionals that include Ball and Majumdar's modification of the Landau-de Gennes …
energy functionals that include Ball and Majumdar's modification of the Landau-de Gennes …
Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory
In this paper we revisit a singular bulk potential in the Landau-de Gennes free energy that
describes nematic liquid crystal configurations in the framework of the Q-tensor order …
describes nematic liquid crystal configurations in the framework of the Q-tensor order …
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 …