Dynamic theory for incompressible Smectic-A liquid crystals: Existence and regularity
Dynamic theory for incompressible Smectic-A liquid crystals: Existence and regularity
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DOI：
10.3934/dcds.2000.6.591
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发表时间：
2000-04
影响因子：
1.1
通讯作者：
Chun Liu
中科院分区：
文献类型：
--
作者：
Chun Liu
我们研究了文献[3]中提出的用来模拟近晶A液晶动力学的系统。建立了系统的能量耗散关系，证明了系统整体弱解的存在性。给出了经典解的存在性和弱解的正则性的高阶能量估计。文中还讨论了一些正则性和稳定性结果。
We study a system that was proposed in [3] in order to model the dynamic of Smectic-A liquid crystals. We establish the energy dissipative relation of the system and prove the existence of global weak solutions. A higher order energy estimate is also established for the existence of the classical solutions and the regularity of the weak solutions. Some regularity and stability results are also discussed in this paper.