@Article{CMAA-2-3,
author = {Yuan, Chen and Yu, Yong},
title = {Global Solutions of Nematic Liquid Crystal Flow in Dimension Two},
journal = {Communications in Mathematical Analysis and Applications},
year = {2023},
volume = {2},
number = {3},
pages = {304--356},
abstract = {<p style="text-align: justify;">In this article we are concerned with a simplified Ericksen-Leslie system on $\mathbb{R}^2,$ whose bounded domain case was considered in [Lin et al., Arch.
Ration. Mech. Anal. 197 (2010), 297–336]. With a study of its vorticity-stream
formulation, we establish a global existence result of weak solutions when initial orientation has finite energy and initial vorticity function lies in $L^1
(\mathbb{R}^2).$</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2023-0004},
url = {https://global-sci.com/article/81420/global-solutions-of-nematic-liquid-crystal-flow-in-dimension-two}
}