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Time decay rate of global strong solutions to nematic liquid crystal flows in R+3

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In this paper, we obtain optimal time-decay rates in $L^r(\mathbb R^3_+)$ for $r\ge 1$ of global strong solutions to the nematic liquid crystal flows in $\mathbb R^3_+$, provided the initial… Click to show full abstract

In this paper, we obtain optimal time-decay rates in $L^r(\mathbb R^3_+)$ for $r\ge 1$ of global strong solutions to the nematic liquid crystal flows in $\mathbb R^3_+$, provided the initial data has small $L^3(\mathbb R^3_+)$-norm.

Keywords: nematic liquid; global strong; time decay; liquid crystal; strong solutions; solutions nematic

Journal Title: Journal of Differential Equations
Year Published: 2019

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