Global Existence and the Optimal Decay Rates for the Three Dimensional Compressible Nematic Liquid Crystal Flow

Xu, F.; Zhang, Xinguang; Wu, Yong Hong; Liu, Lishan

doi:10.1007/s10440-017-0094-5

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Authors

Xu, F.

Zhang, Xinguang

Wu, Yong Hong

Liu, Lishan

Date

2017

Type

Journal Article

Metadata

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Citation

Xu, F. and Zhang, X. and Wu, Y.H. and Liu, L. 2017. Global Existence and the Optimal Decay Rates for the Three Dimensional Compressible Nematic Liquid Crystal Flow. Acta Applicandae Mathematicae: pp. 1-14.

Source Title

Acta Applicandae Mathematicae

DOI

10.1007/s10440-017-0094-5

ISSN

0167-8019

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52294

Collection

Curtin Research Publications

Abstract

© 2017 Springer Science+Business Media DordrechtThe present paper is dedicated to the study of the Cauchy problems for the three-dimensional compressible nematic liquid crystal flow. We obtain the global existence and the optimal decay rates of smooth solutions to the system under the condition that the initial data in lower regular spaces are close to the constant equilibrium state. Our main method is based on the spectral analysis and the smooth effect of dissipative operator.