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

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  • 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.
    Mathematics Subject Classification: Primary: 35B40, 35Q35,76D03; Secondary: 35Q30, 76A05,76D05.

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