English

Singularity formation for full Ericksen-Leslie system of nematic liquid crystal flows in dimension two

Analysis of PDEs 2023-05-09 v1

Abstract

In this paper, we prove the singularity formation for Poiseuille laminar flow of full Ericksen-Leslie system modeling nematic liquid crystal flows in dimension two. The singularity is due to the geometric effect at the origin.

Keywords

Cite

@article{arxiv.2305.03904,
  title  = {Singularity formation for full Ericksen-Leslie system of nematic liquid crystal flows in dimension two},
  author = {Geng Chen and Tao Huang and Xiang Xu},
  journal= {arXiv preprint arXiv:2305.03904},
  year   = {2023}
}