Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals

9Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We consider a variational two-dimensional Landau–de Gennes model in the theory of nematic liquid crystals in a disk of radius R. We prove that under a symmetric boundary condition carrying a topological defect of degree k2 for some given even non-zero integer k, there are exactly two minimizers for all large enough R. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the boundary data. We further show that there are at least five symmetric critical points.

Cite

CITATION STYLE

APA

Ignat, R., Nguyen, L., Slastikov, V., & Zarnescu, A. (2020). Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals. Archive for Rational Mechanics and Analysis, 237(3), 1421–1473. https://doi.org/10.1007/s00205-020-01539-x

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free