Acta mathematica scientia, Series B >
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R3
Received date: 2015-09-24
Revised date: 2016-05-16
Online published: 2017-02-25
Supported by
This work is partially supported by NNSFC (11271381 and 11501373), China 973 Program (2011CB808002); the Natural Science Foundation of Guangdong Province (2016A0300310019 and 2016A030307042), Guangdong Provincial culture of seedling of China (2013LYM0081), the Education research platform project of Guangdong Province (2014KQNCX208), the Education Reform Project of Guangdong Province (2015558), the Shaoguan Science and Technology Foundation (20157201), Education Reform Project of Shaoguan University (SYJY20121361 and SYJY20141576).
In this paper, we study a nematic liquid crystals system in three-dimensional whole space R3 and obtain the time decay rates of the higher-order spatial derivatives of the solution by the method of spectral analysis and energy estimates if the initial data belongs to L1(R3) additionally.
Key words： nematic liquid crystals; decay rates; spectral analysis
Yin LI , Ruiying WEI , Zhengan YAO . ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R3[J]. Acta mathematica scientia, Series B, 2017 , 37(1) : 174 -186 . DOI: 10.1016/S0252-9602(16)30123-0
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