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Decay properties for a density-dependent liquid crystal system
Han, Pigong1,2; Lei, Keke1,2; Liu, Chenggang3; Wang, Xuewen1,2
2022-09-01
发表期刊JOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
卷号63期号:9页码:24
摘要The purpose of this paper is to establish the optimal temporal decay properties for nonhomogeneous incompressible liquid crystal flows in R-n, n = 2, 3. Under a weaker smallness assumption on the initial datum d(0), we construct a uniform (in t) energy estimate for the director field d, which plays a crucial role in giving the optimal L-2-decay rates for the liquid crystal flows. If the initial data are more regular, the optimal decay rates for the higher spatial derivatives are also obtained. Published under an exclusive license by AIP Publishing.
DOI10.1063/5.0088189
收录类别SCI
语种英语
资助项目National Key R&D Program of China[2021YFA1000800] ; National Natural Science Foundation of China[11871457] ; K. C. Wong Education Foundation ; Chinese Academy of Sciences
WOS研究方向Physics
WOS类目Physics, Mathematical
WOS记录号WOS:000874484700001
出版者AIP Publishing
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60814
专题应用数学研究所
通讯作者Liu, Chenggang
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
3.Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan, Peoples R China
推荐引用方式
GB/T 7714
Han, Pigong,Lei, Keke,Liu, Chenggang,et al. Decay properties for a density-dependent liquid crystal system[J]. JOURNAL OF MATHEMATICAL PHYSICS,2022,63(9):24.
APA Han, Pigong,Lei, Keke,Liu, Chenggang,&Wang, Xuewen.(2022).Decay properties for a density-dependent liquid crystal system.JOURNAL OF MATHEMATICAL PHYSICS,63(9),24.
MLA Han, Pigong,et al."Decay properties for a density-dependent liquid crystal system".JOURNAL OF MATHEMATICAL PHYSICS 63.9(2022):24.
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