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	ON THE UNIQUENESS OF WEAK SOLUTION FOR THE 2-D ERICKSEN LESLIE SYSTEM
	Wang, Meng ; Wang, Wendong ; Zhang, Zhifei
	2016
关键词	Ericksen-Leslie system uniqueness of weak solution Littlewood-Paley theory NEMATIC LIQUID-CRYSTAL CONSTITUTIVE EQUATIONS GLOBAL EXISTENCE FLOW REGULARITY
英文摘要	In this paper, we prove the uniqueness of weak solutions to the two dimensional full Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. This question remains unknown even in the case when the Leslie stress is vanishing. The main technique used in the proof is Littlewood-Paley analysis performed in a very delicate way. Different from the earlier result in [28], we introduce a new metric and explore the algebraic structure of the molecular field.; NSFC [10931001, 11371316, 11301048]; Zhejiang University; Fundamental Research Funds for the Central Universities; Institute of Mathematical Sciences of The Chinese University of Hong Kong; NSF of China [11371039, 11425103, 11421101]; SCI(E); ARTICLE; mathdreamcn@zju.edu.cn; wendong@dlut.edu.cn; zfzhang@math.pku.edu.cn; 3; 919-941; 21
语种	英语
出处	SCI
出版者	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438264]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Meng,Wang, Wendong,Zhang, Zhifei. ON THE UNIQUENESS OF WEAK SOLUTION FOR THE 2-D ERICKSEN LESLIE SYSTEM. 2016-01-01.

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