Refined Asymptotics for Landau-de Gennes Minimizers on Planar Domains
Analysis of PDEs
2021-09-27 v1 Soft Condensed Matter
Abstract
In our previous work,, we studied asymptotic behavior of minimizers of the Landau-de Gennes energy functional on planar domains as the nematic correlation length converges to zero. Here we improve upon those results, in particular by sharpening the description of the limiting map of the minimizers. We also provide an expression for the energy valid for a small, but fixed value of the nematic correlation length.
Keywords
Cite
@article{arxiv.2109.11974,
title = {Refined Asymptotics for Landau-de Gennes Minimizers on Planar Domains},
author = {Dmitry Golovaty and Jose Alberto Montero},
journal= {arXiv preprint arXiv:2109.11974},
year = {2021}
}