# Disclinations in limiting Landau-de Gennes theory

## TL;DR

This paper investigates the low-temperature behavior of Landau-de Gennes theory, revealing multiple energy minimizers with distinct structures, including biaxial torus and split-core segment configurations.

## Contribution

It identifies multiple minimizers in the low-temperature limit of Landau-de Gennes theory, highlighting structural differences in the solutions.

## Key findings

- Existence of at least two distinct minimizers
- One minimizer exhibits biaxial torus structure
- Another minimizer has split-core segment structure

## Abstract

In this article we study the low-temperature limit of a Landau-de Gennes theory. Within all S2-valued R-axially symmetric maps (see Definition 1.1), the limiting energy functional has at least two distinct energy minimizers. One minimizer has biaxial torus structure, while another minimizer has split-core segment structure on the z-axis.