@Article{JPDE-27-245,
author = {Zujin Zhang },
title = {Liquid Crystal Flows with Regularity in One Direction},
journal = {Journal of Partial Differential Equations},
year = {2014},
volume = {27},
number = {3},
pages = {245--250},
abstract = { In this paper, we consider the Cauchy problem for the model of liquid crystal. We show that if the velocity field u satisfies $$∂_3u∈L^p(0,T;L^q(\mathbb{R}^3)), \frac{2}{p}+\frac{3}{q}+=1+\frac{1}{q}, 2 ‹ q ≤ ∞,$$ then the solution is in fact smooth.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v27.n3.5},
url = {http://global-sci.org/intro/article_detail/jpde/5140.html}
}