Journal
ACTA APPLICANDAE MATHEMATICAE
Volume 150, Issue 1, Pages 67-80Publisher
SPRINGER
DOI: 10.1007/s10440-017-0094-5
Keywords
Global existence; Compressible nematic liquid crystal flow; Decay rates
Categories
Funding
- National Natural Science Foundation of China [11501332, 11171034, 11371221]
- Natural Science Foundation of Shandong Province [ZR2015AL007]
- China Postdoctoral Science Foundation [2014M561893]
- Postdoctoral innovation fund of Shandong Province
- Open Fund of State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin
- China Institute of Water Resources and Hydropower Research Fund [IWHR-SKL-201407]
- Specialized Research Foundation for the Doctoral Program of Higher Education of China [20123705110001]
- Young Scholars Research Fund of Shandong University of Technology
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The 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.
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