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July  2009, 23(3): 765-784. doi: 10.3934/dcds.2009.23.765

Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows

Bo-Qing Dong 1, and  Zhi-Min Chen 2,

1. 

School of Mathematical Sciences, Anhui University, Hefei,Anhui 230039, China
2. 

School of Engineering Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom

Received  June 2007 Revised  August 2008 Published  November 2008

This paper deals with asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows in the whole space $R^2$. Based on the spectral decomposition of linearized micropolar fluid flows, the sharp algebraic time decay estimates of the micropolar fluid flows in $L_2$ and $L_\infty$ norms are obtained.
Keywords: micropolar fluid flows; spectral decomposition; asymptotic profiles.
Mathematics Subject Classification: Primary: 35B40, 35Q35,76D03; Secondary: 35Q30, 76A05,76D05.
Citation: Bo-Qing Dong, Zhi-Min Chen. Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Discrete & Continuous Dynamical Systems, 2009, 23 (3) : 765-784. doi: 10.3934/dcds.2009.23.765
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