TY - JOUR
T1 - Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space
AU - Guo , Congchong
JO - Annals of Applied Mathematics
VL - 4
SP - 357
EP - 379
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20649.html
KW - space-time regularity, liquid crystal system, critical Sobolev
space.
AB - <p style="text-align: justify;">In this paper, we consider a hydrodynamic flow of nematic liquid crystal system. We prove the local well-posedness for the system in the critical
Lebesgue space, and study the space-time regularity of the local solution.</p>