Finite time singularity of the nematic liquid crystal flow in dimension three
Analysis of PDEs
2016-03-23 v1
Abstract
In this paper, we consider the initial and boundary value problem of a simplified nematic liquid crystal flow in dimension three and construct two examples of finite time singularity. The first example is constructed within the class of axisymmetric solutions, while the second example is constructed for any generic initial data that has sufficiently small energy, and has a nontrivial topology
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Cite
@article{arxiv.1504.01080,
title = {Finite time singularity of the nematic liquid crystal flow in dimension three},
author = {Tao Huang and Fanghua Lin and Chun Liu and Changyou Wang},
journal= {arXiv preprint arXiv:1504.01080},
year = {2016}
}
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27 pages