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论文类型： 期刊论文

发表时间： 2014-11-01

发表刊物： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

收录刊物： SCIE

卷号： 51

期号： 3-4

页面范围： 915-962

ISSN号： 0944-2669

摘要： We prove the global existence of weak solution for two dimensional Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen-Leslie system in two and three spatial dimensions.