Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space
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@Article{AAM-32-357,
author = {Guo , Congchong},
title = {Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {32},
number = {4},
pages = {357--379},
abstract = {
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.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20649.html} }
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 -
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.
Guo , Congchong. (2022). Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space.
Annals of Applied Mathematics. 32 (4).
357-379.
doi:
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