三维可压缩液晶流模型解的整体存在唯一性

Global Existence and Uniqueness of a 3D Compressible Nematic Liquid Crystal Flow

本文主要研究三维可压缩液晶流方程的解,建立了在H2(R3)中关于整体解的存在性理论。主要利用能量方法,推导出了解的先验估计,再利用连续性技巧将局部解延拓到整体。

This paper mainly studies the solution of compressible nematic liquid crystal flow in R3, the existence theory of the global solution to the system is established in H2-framework. The energy method is used to derive the desired a priori estimates and hence the global existence by using the standard continuity method.