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 |
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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 |
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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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