Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals
Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals
复制标题
液晶可压缩流动的全局低能弱解和大时间行为
DOI：
10.1016/j.jde.2018.01.045
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发表时间：
2018
影响因子：
2.4
通讯作者：
Tan Zhong
中科院分区：
文献类型：
--
作者：
Wu Guochun;Tan Zhong
本文考虑了R3中可压缩液晶流动的简化Ericksen-Leslie方程组的弱解。当初始数据具有小能量，初始密度为正且本质有界时，证明了在R3中整体弱解的存在性。还建立了整体弱解的大时间行为。
In this paper, we consider the weak solution of the simplified Ericksen–Leslie system modeling compressible nematic liquid crystal flows in R 3. When the initial data are of small energy and initial density is positive and essentially bounded, we prove the existence of a global weak solution in R 3. The large-time behavior of a global weak solution is also established.