Decay of the nematic liquid crystal system

作者:Wei, Ruiying*; Li, Yin*; Yao, Zheng-an
来源:Mathematical Methods in the Applied Sciences, 2016, 39(3): 452-474.
DOI:10.1002/mma.3494

摘要

In this paper, we study the time-decay rates of the solution to the Cauchy problem for a nematic liquid crystals system via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. The (H) over dot(-s) (0 <= s <= 1/2) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates.