Vector Field Models for Nematic Disclinations
Analysis of PDEs
2023-08-09 v1 Materials Science
Abstract
In this paper, a model for defects that was introduced in \cite{ZANV} is studied. In the literature, the setting of most models for defects is the function space SBV (special bounded variation functions) (see, e.g., \cite{ContiGarroni, GoldmanSerfaty}). However, this model regularizes the director field to be in a Sobolev space by adding a second field to incorporate the defect. A relaxation result in the case of fixed parameters is proven along with some partial compactness results.
Keywords
Cite
@article{arxiv.2301.09353,
title = {Vector Field Models for Nematic Disclinations},
author = {Amit Acharya and Irene Fonseca and Likhit Ganedi and Kerrek Stinson},
journal= {arXiv preprint arXiv:2301.09353},
year = {2023}
}