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A representation formula of incompressible liquid crystal flow and its applications
Huang, Xiangdi
2017-05-01
Source PublicationNONLINEARITY
ISSN0951-7715
Volume30Issue:5Pages:9
AbstractIn this paper, we give a representation formula for the solutions of incompressible liquid crystal flow in arbitrary dimensions. As a direct application, one can obtain a strong global solution in two dimensions, as long as the image of the initial orientation field of the liquid crystal lies in a plane, or is a nontrivial curve on the unit sphere. The results also hold for inhomogeneous incompressible liquid crystals.
Keywordglobal existence liquid crystals strong solution
DOI10.1088/1361-6544/aa63a5
Language英语
Funding ProjectAcademy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd] ; National Natural Science Foundation of China[11471321] ; National Natural Science Foundation of China[11671412] ; National Natural Science Foundation of China[11371064]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000398308100002
PublisherIOP PUBLISHING LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25201
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, AMSS, NCMIS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Xiangdi. A representation formula of incompressible liquid crystal flow and its applications[J]. NONLINEARITY,2017,30(5):9.
APA Huang, Xiangdi.(2017).A representation formula of incompressible liquid crystal flow and its applications.NONLINEARITY,30(5),9.
MLA Huang, Xiangdi."A representation formula of incompressible liquid crystal flow and its applications".NONLINEARITY 30.5(2017):9.
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