@article{Zhao2022, 
author = {Xiufang Zhao},
title = {Decay estimates for three-dimensional nematic liquid crystal system},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16249-16260},
keywords = {nematic liquid crystals, Ericksen-Leslie system, energy estimates, negative Sobolev space, decay estimates},
url = {https://www.sciopen.com/article/10.3934/math.2022887},
doi = {10.3934/math.2022887},
abstract = {In this paper, we consider the decay rates of the higher-order spatial derivatives of solution to the Cauchy problem of 3D compressible nematic liquid crystals system. The                      H        ˙              s      (      1    2    <  s  <      3    2    ) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates.}
}