Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 263, Issue 5, Pages 2457-2480Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2017.04.002
Keywords
Magneto-micropolar fluids; Decay rates; Fourier-splitting method
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Funding
- National Natural Science Foundation of China [11271381, 11501373]
- Natural Science Foundation of Guangdong Province [2016A0300310019, 2016A030307042]
- China Postdoctoral Science Foundation [2016M600963]
- Guangdong Provincial Culture of Seedling of China [2013LYM0081]
- Education research platform project of Guangdong Province [2014KQNC X208]
- Education Reform Project of Guangdong Province [2015558]
- Shaoguan Science and Technology Foundation [2014CX/K231, 20157201]
- Education Reform Project of Shaoguan University, China [SYJY20121361, SYJY20141576]
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The Cauchy problem for the three-dimensional compressible magneto-micropolar fluid equations is considered. Existence of global-in-time smooth solutions is established under the condition that the initial data are small perturbations of some given constant state. Moreover, we obtain the time decay rates of the higher order spatial derivatives of the solution by combining the L-P-L-q estimates for the linearized equations and the Fourier splitting method, if the initial perturbation is small in H-3-norm and bounded in L-1-norm. (C) 2017 Elsevier Inc. All rights reserved.
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