Defects of liquid crystals with variable degree of orientation
Analysis of PDEs
2017-10-30 v2 Mathematical Physics
math.MP
Abstract
We prove that the zero set of a minimizer of the modified Ericksen energy for nematic liquid crystals with variable degree of orientation consists locally of isolated points and a finite union of H\"older continuous curves with only finitely many crossings.
Keywords
Cite
@article{arxiv.1610.06592,
title = {Defects of liquid crystals with variable degree of orientation},
author = {Onur Alper and Robert Hardt and Fang-Hua Lin},
journal= {arXiv preprint arXiv:1610.06592},
year = {2017}
}
Comments
32 pages; minor revisions; typographical errors corrected; new references added