TY - JOUR
T1 - Global Solutions of Nematic Liquid Crystal Flow in Dimension Two
AU - Chen , Yuan
AU - Yu , Yong
JO - Communications in Mathematical Analysis and Applications
VL - 3
SP - 304
EP - 356
PY - 2023
DA - 2023/09
SN - 2
DO - http://doi.org/10.4208/cmaa.2023-0004
UR - https://global-sci.org/intro/article_detail/cmaa/22016.html
KW - Ericksen-Leslie system, circulation Reynolds number, vorticity formulation.
AB - <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>