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

Qiang  Tao; Ying  Yang

doi:10.3934/cpaa.2016007

Article Contents

2016, Volume 15, Issue 5: 1661-1669. Doi: 10.3934/cpaa.2016007

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Exponential stability for the compressible nematic liquid crystal flow with large initial data

Qiang Tao^1, and
Ying Yang^1,

1.
School of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060

Received: August 31, 2015

Revised: March 31, 2016

Published: August 2016

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B40, 35Q35.

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