Uniform Regularity and Vanishing Viscosity Limit for the Nematic Liquid Crystal Flows in Three Dimensional Domain
Analysis of PDEs
2016-06-14 v1
Abstract
In this paper, we investigate the uniform regularity and vanishing limit for the incompressible nematic liquid crystal flows in three dimensional bounded domain. It is shown that there exists a unique strong solution for the incompressible nematic liquid crystal flows with boundary condition in a finite time interval which is independent of the viscosity. The solution is uniformly bounded in a conormal Sobolev space. Finally, we also study the convergence rate of the viscous solutions to the inviscid ones.
Keywords
Cite
@article{arxiv.1606.03914,
title = {Uniform Regularity and Vanishing Viscosity Limit for the Nematic Liquid Crystal Flows in Three Dimensional Domain},
author = {Jincheng Gao and Boling Guo and Xiaoyu Xi},
journal= {arXiv preprint arXiv:1606.03914},
year = {2016}
}
Comments
45 pages. arXiv admin note: substantial text overlap with arXiv:1501.01718 by other authors; text overlap with arXiv:1008.1678, arXiv:1504.01084 by other authors