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	LOCAL WELL-POSEDNESS AND SMALL DEBORAH LIMIT OF A MOLECULE-BASED Q-TENSOR SYSTEM
	Li, Sirui ; Wang, Wei ; Zhang, Pingwen
	2015
关键词	Liquid crystals Q-tensor theory Ericksen-Leslie theory local strong solution NEMATIC LIQUID-CRYSTALS ERICKSEN-LESLIE-SYSTEM DE-GENNES THEORY GLOBAL EXISTENCE MAIER-SAUPE REGULARITY EQUATIONS POLYMERS SPHERE
英文摘要	In this paper, we consider a hydrodynamic Q-tensor system for nematic liquid crystal flow, which is derived from Doi-Onsager molecular theory by the Bingham closure. We first prove the existence and uniqueness of local strong solution. Furthermore, by taking Deborah number goes to zero and using the Hilbert expansion method, we present a rigorous derivation from the molecule-based Q-tensor theory to the Ericksen-Leslie theory.; China Postdoctoral Science Foundation [2013M540010, 2014T70008]; NSF of China [21274005, 11421110001, 11421101]; SCI(E); ARTICLE; srli@pku.edu.cn; wangw07@zju.edu.cn; pzhang@pku.edu.cn; 8; 2611-2655; 20
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/20.500.11897/415901]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Sirui,Wang, Wei,Zhang, Pingwen. LOCAL WELL-POSEDNESS AND SMALL DEBORAH LIMIT OF A MOLECULE-BASED Q-TENSOR SYSTEM. 2015-01-01.

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