We investigate a simplified compressible isentropic nematic liquid crystal flow in 1183. We show the existence and uniqueness of global solutions belonging to a new class of functions provided that the initial energy is properly small. Our result may be regarded as a generalization of Li-Xu-Zhang's work (Li et al., 2018) in the sense that the lower regularities of initial data are required.(c) 2023 Elsevier Ltd. All rights reserved.
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Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100864, Peoples R China
Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka, JapanChinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100864, Peoples R China
Huang, Xiangdi
Wang, Yun
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Soochow Univ, Sch Math, Suzhou 225006, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100864, Peoples R China
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Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China
Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, IsraelChinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China
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Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
Gao, Jincheng
Tao, Qiang
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Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R ChinaSun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
Tao, Qiang
Yao, Zheng-an
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Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China