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Decay of the nematic liquid crystal system
Author(s) -
Wei Ruiying,
Li Yin,
Yao Zhengan
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3494
Subject(s) - liquid crystal , mathematics , condensed matter physics , physics
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. TheH ̇− s0 ≤ s ≤ 1 2negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates. Copyright © 2015 John Wiley & Sons, Ltd.
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