Compressible hydrodynamic flow of nematic liquid crystals with vacuum
Compressible hydrodynamic flow of nematic liquid crystals with vacuum
复制标题
DOI：
10.1016/j.jde.2014.11.008
复制
发表时间：
2015-03
影响因子：
2.4
通讯作者：
Jinrui Huang;S. Ding
中科院分区：
文献类型：
--
作者：
Jinrui Huang;S. Ding
在本文中，我们首先考虑了一个简化版的Ericksen-Leslie方程的自由边界问题，该方程模拟了一维连续连接到真空的向列型液晶的可压缩流体动力流动。得到了全局弱解的存在性。此外，我们建立了密度在时间方向上亚线性增长的可压缩向列液晶模型光滑解的寿命。
In this paper, we first consider the free boundary problem for a simplified version of Ericksen–Leslie equations modeling the compressible hydrodynamic flow of nematic liquid crystals in dimension one which connects continuously to vacuum. We obtain the existence of global weak solutions. Furthermore, we establish the life-span of smooth solutions to the compressible nematic liquid crystal model with the support of density growing sublinearly in time direction.