Global existence of solutions of the simplified Ericksen–Leslie system in dimension two
Global existence of solutions of the simplified Ericksen–Leslie system in dimension two
复制标题
DOI：
10.1007/s00526-010-0331-5
复制
发表时间：
2011
影响因子：
2.1
通讯作者：
Min-Chun Hong
中科院分区：
文献类型：
--
作者：
Min-Chun Hong
20世纪60年代，埃里克森和莱斯利建立了模拟液晶流动的流体力学理论。本文研究了Ericksen-Leslie系统的一个简化模型，它是一个耦合了调和映射流的Navier-Stokes方程组。我们证明了具有初值的Ericksen-Leslie系统解的整体存在性，其中解除了在有限个奇异时刻外是正则的。
In the 1960s, Ericksen and Leslie established the hydrodynamic theory for modelling liquid crystal flow. In this paper, we investigate a simplified model of the Ericksen–Leslie system, which is a system of the Navier–Stokes equations coupled with the harmonic map flow. We prove global existence of solutions to the Ericksen–Leslie system inwith initial data, where the solutions are regular except for at a finite number of singular times.