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论文类型： 期刊论文

发表时间： 2016-05-01

发表刊物： DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

收录刊物： SCIE

卷号： 21

期号： 3

页面范围： 919-941

ISSN号： 1531-3492

关键字： Ericksen-Leslie system; uniqueness of weak solution; Littlewood-Paley theory

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.