双折射液晶Poiffille流奇异性的形成
Singularity formation for the general Poiseuille flow of nematic liquid crystals
摘要：
本文利用全Ericksen-Leslie模型研究了非线性液晶的Poiffille流。该模型由热传导方程和准线性波动方程组成的耦合系统描述。在本文中，我们将构造一个例子，有限时间尖点奇异性由于拟线性的波动方程，从早期的结果推广到一个特殊的情况。
英文摘要：
We consider the Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model. The model is described by a coupled system consisting of a heat equation and a quasilinear wave equation. In this paper, we will construct an example with a finite time cusp singularity due to the quasilinearity of the wave equation, extended from an earlier result on a special case.
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