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

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

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.

Related collections

Most cited references 12

Record: found
Abstract: not found
Article: not found

The topological theory of defects in ordered media

N. D. Mermin (1979)

0 comments Cited 605 times – based on 0 reviews      Review now

Bookmark

Record: found
Abstract: not found
Article: not found

Principles of a classification of defects in ordered media

M. Kleman, G Toulouse (1976)

0 comments Cited 74 times – based on 0 reviews      Review now

Bookmark

Record: found
Abstract: found
Article: found

Is Open Access

Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond

Apala Majumdar, Arghir Zarnescu (2008)

We study global minimizers of a continuum Landau-De Gennes energy functional for nematic liquid crystals, in three-dimensional domains, subject to uniaxial boundary conditions. We analyze the physically relevant limit of small elastic constant and show that global minimizers converge strongly, in \(W^{1,2}\), to a global minimizer predicted by the Oseen-Frank theory for uniaxial nematic liquid crystals with constant order parameter. Moreover, the convergence is uniform in the interior of the domain, away from the singularities of the limiting Oseen-Frank global minimizer. We obtain results on the rate of convergence of the eigenvalues and the regularity of the eigenvectors of the Landau-De Gennes global minimizer. We also study the interplay between biaxiality and uniaxiality in Landau-De Gennes global energy minimizers and obtain estimates for various related quantities such as the biaxiality parameter and the size of admissible strongly biaxial regions.