Stability of half-degree point defect profiles for 2-D nematic liquid crystal

TL;DR

This paper proves the stability of half-degree point defect profiles in two-dimensional nematic liquid crystals modeled by the Landau-de Gennes theory, providing mathematical validation for these defect structures.

Contribution

It establishes the stability of half-degree point defect profiles in 2D nematic liquid crystals within the Landau-de Gennes framework, a novel mathematical result.

Findings

Proof of stability of defect profiles

Mathematical validation of defect structures

Advancement in understanding nematic liquid crystal defects

Abstract

In this paper, we prove the stability of half-degree point defect profiles in $\mathbb{R}^2$ for the nematic liquid crystal within Landau-de Gennes model.