Pattern Formation in Landau-de Gennes Theory
Analysis of PDEs
2021-07-06 v1 Materials Science
Abstract
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 [14]. The structures of disclinations are also addressed.
Cite
@article{arxiv.2107.01440,
title = {Pattern Formation in Landau-de Gennes Theory},
author = {Ho-Man Tai and Yong Yu},
journal= {arXiv preprint arXiv:2107.01440},
year = {2021}
}
Comments
86 pages