一个关于不可压液晶系统的适当弱解的局部Serrin型的正则性条件

A local Serrin-type regularity criterion for a suitable weak solution to the incompressible liquid crystal system

本文研究液晶流中简化版的Ericksen-Leslie方程。对于三维不可压液晶系统,本文证明了它的适当弱解在Neustupa (2014)条件下的部分正则性结果。

In this paper, we study the simplified system of the original Ericksen-Leslie equations for the flow of liquid crystals. For the three-dimensional incompressible liquid crystal system, we prove partial regularity results of its suitable weak solutions under Neustupa’s(2014) criteria.