三维区域中向列液晶流的均匀正则性与粘性消失极限
偏微分方程分析
2016-06-14 v1
摘要
本文研究三维有界区域中不可压缩向列液晶流的均匀正则性与消失极限。结果表明，在独立于粘性的有限时间区间内，具有边界条件的不可压缩向列液晶流存在唯一的强解。该解在余法向 Sobolev 空间中一致有界。最后，我们还研究了粘性解向无粘解的收敛速率。
引用
@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}
}
备注
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