ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R3

doi:10.1016/S0252-9602(16)30123-0

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (1): 174-186.doi: 10.1016/S0252-9602(16)30123-0

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R³

李银^1,2, 位瑞英^1,3, 姚正安⁴

1. School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, China;
2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China;
3. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

收稿日期:2015-09-24 修回日期:2016-05-16 出版日期:2017-02-25 发布日期:2017-02-25
通讯作者: Ruiying WEI,E-mail:weiruiying521@163.com E-mail:weiruiying521@163.com
作者简介:Yin Lim,E-mail:liyin2009521@163.com;Zhengan YAO,E-mail:mcsyao@mail.sysu.edu.cn
基金资助:
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).

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R³

Yin LI^1,2, Ruiying WEI^1,3, Zhengan YAO⁴

1. School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, China;
2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China;
3. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

Received:2015-09-24 Revised:2016-05-16 Online:2017-02-25 Published:2017-02-25
Contact: Ruiying WEI,E-mail:weiruiying521@163.com E-mail:weiruiying521@163.com
About author:Yin Lim,E-mail:liyin2009521@163.com;Zhengan YAO,E-mail:mcsyao@mail.sysu.edu.cn
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).

摘要/Abstract

摘要：

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.

关键词: nematic liquid crystals, decay rates, spectral analysis

Abstract:

Key words: nematic liquid crystals, decay rates, spectral analysis

李银, 位瑞英, 姚正安. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R³[J]. 数学物理学报(英文版), 2017, 37(1): 174-186.

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.

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ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R³

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R³

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