Partial regularity of the dynamic system modeling the flow of liquid crystals

Partial regularity of the dynamic system modeling the flow of liquid crystals
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DOI:
10.3934/dcds.1996.2.1
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发表时间:
1995-10
影响因子:
1.1
通讯作者:
F. Lin;Chun Liu
F. Lin;Chun Liu
中科院分区:
数学3区
文献类型:
--
作者:
F. Lin;Chun Liu

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本文建立了模拟液晶流动动力学系统的适当弱解的部分正则性。它是对Caffarelli-Kohn-Nirenberg关于Navier-Stokes系统的早期工作的自然推广,由于对压力项有更好的估计而进行了一些简化。
Here we established the partial regularity of suitable weak solutions to the dynamical systems modelling the flow of liquid crystals. It is a natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on the Navier-Stokes system with some simplifications due to better estimates on the pressure term.