A variational analysis of nematic axisymmetric films: the covariant derivative case
Analysis of PDEs
2025-10-06 v3
Abstract
Nematic surfaces are thin fluid structures, ideally two-dimensional, endowed with an in-plane nematic order. In 2012, two variational models have been introduced by Giomi [11] and by Napoli and Vergori [29,28]. Both penalize the area of the surface and the gradient of the director: in [11] the covariant derivative of the director is considered, while [28] deals with the surface gradient. In this paper, a complete variational analysis of the model proposed by Giomi is performed for revolution surfaces spanning two coaxial rings.
Cite
@article{arxiv.2405.20154,
title = {A variational analysis of nematic axisymmetric films: the covariant derivative case},
author = {Giulia Bevilacqua and Chiara Lonati and Luca Lussardi and Alfredo Marzocchi},
journal= {arXiv preprint arXiv:2405.20154},
year = {2025}
}