Abstract In this paper, we study the free boundary problem of compressible non-isothermal liquid crystal flow in dimension one. For the vacuum interface condition, that is, the density is assumed to vanish and connect to vacuum continuously, we prove global existence and uniqueness of classical solutions to the liquid crystal system with large initial data.

中文翻译：

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大数据可压缩非等温液晶流一维自由边界问题的全局经典解

摘要 本文研究了一维可压缩非等温液晶流动的自由边界问题。对于真空界面条件，即假设密度消失并连续连接到真空，我们证明了具有大初始数据的液晶系统经典解的全局存在性和唯一性。