Pattern formation in Landau-de Gennes theory

We study the spherical droplet problem in 3D Landau- de Gennes theory with finite temperature. By rigorously constructing the biaxial-ring solutions and split-core-segment solutions, we theoretically confirm the numerical results of Gartland-Mkaddem in [15]. The structures of disclinations are also addressed.(c) 2023 Elsevier Inc. All rights reserved.

Automated summary

We investigate the 3D Landau-de Gennes theory with finite temperature to understand the spherical droplet problem. By rigorously constructing biaxial-ring solutions and split-core-segment solutions, we provide theoretical confirmation for the numerical findings of Gartland-Mkaddem in [15]. The paper also addresses the structures of disclinations.