刘宪高,张振羽.液晶系统流问题的存在性[J].数学年刊A辑,2009,30(1):1~20
液晶系统流问题的存在性
Existence of the Flow of Liquid Crystals System
  
DOI:
中文关键词:  液晶  非抛物耗散动力系统
英文关键词:Liquid crystal, Non-parabolic dissipative dynamic system
基金项目:国家自然科学基金
Author NameAffiliationE-mail
LIU Xiangao School of Mathematical Sciences, Fudan University, Shanghai 200433, China. xgliu@fudan.edu.cn 
ZHANG Zhenyu School of Mathematical Sciences, Fudan University, Shanghai 200433, China. 042018008@fudan.edu.cn 
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中文摘要:
      研究了三维欧氏空间有界区域中向列型液晶流的一个简化系统,这是一个耦合的非抛物耗散动力系统.得到了基本能量不等式,并用之证明全局弱解的存在性.
英文摘要:
      A simplified system for the flow of nematic liquid crystals in a bounded domain in Euclidean space of dimension three is studied. This is a coupled non-parabolic dissipative dynamic system. The basic energy law which enables us to prove the global existence of the weak solution is derived.
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