Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals
Analysis of PDEs
2015-05-13 v1 Mathematical Physics
math.MP
Abstract
The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the unique strong solution.
Keywords
Cite
@article{arxiv.0906.4802,
title = {Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals},
author = {Xianpeng Hu and Dehua Wang},
journal= {arXiv preprint arXiv:0906.4802},
year = {2015}
}