Interaction of liquid crystals with a rigid body
Analysis of PDEs
2024-09-04 v2
Abstract
This article investigates the interaction of nematic liquid crystals modeled by a simplified Ericksen-Leslie model with a rigid body. It is shown that this problem is locally strongly well-posed, and that it also admits a unique, global strong solution for initial data close to constant equilibria. The proof of the global strong solution relies on a new splitting method for the director in a mean value zero and average part.
Keywords
Cite
@article{arxiv.2310.17175,
title = {Interaction of liquid crystals with a rigid body},
author = {Tim Binz and Felix Brandt and Matthias Hieber and Arnab Roy},
journal= {arXiv preprint arXiv:2310.17175},
year = {2024}
}
Comments
Accepted for publication in Transactions of the American Mathematical Society