@article{Liu2022, 
author = {Zhongying Liu and Yang Liu and Yiqi Jiang},
title = {Global solvability of 3D non-isothermal incompressible nematic liquid crystal flows},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {12536-12565},
keywords = {inhomogeneous case, incompressible nematic liquid crystal flows, global strong solution, vacuum},
url = {https://www.sciopen.com/article/10.3934/math.2022695},
doi = {10.3934/math.2022695},
abstract = {We are concerned with the initial value problem of non-isothermal incompressible nematic liquid crystal flows in              R        3  . Through some time-weighted a priori estimates, we prove the global existence of a strong solution provided that        (    ‖            ρ      0            u    0        ‖                  L        2              2    +  ‖  ∇      d    0        ‖                  L        2              2        )        (    ‖  ∇      u    0        ‖                  L        2              2    +  ‖      ∇    2        d    0        ‖                  L        2              2        )   is reasonably small, which extends the corresponding Li's (Methods Appl. Anal. 2015 [4]) and Ding-Huang-Xia's (Filomat 2013 [2]) results to the whole space              R        3   and non-isothermal case. Furthermore, we also derive the algebraic decay estimates of the solution.}
}