Exponential stability for the compressible nematic liquid crystal flow withlarge initial data

Exponential stability for the compressible nematic liquid crystal flow withlarge initial data
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DOI:
10.3934/cpaa.2016007
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发表时间:
2016-07
影响因子:
1
通讯作者:
Q. Tao;Ying Yang
Q. Tao;Ying Yang
中科院分区:
数学4区
文献类型:
--
作者:
Q. Tao;Ying Yang

文献摘要

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本文考虑了具有大初始数据的多维可压缩向列液晶流全局球对称解或圆柱对称解的渐近性质。利用密度的均匀点向正下界和上界,得到了全局强解的指数稳定性。
In this paper, we consider the asymptotic behavior of the global spherically or cylindrically symmetric solution for the compressible nematic liquid crystal flow in multi-dimension with large initial data. Using the uniform point-wise positive lower and upper bounds of the density, we obtain the exponential stability of the global strong solution.