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In this paper, we study the asymptotic behavior of solutions to the initial boundary value problem for the micropolar fluid model in a half-line $$\mathbb {R}_{+}:=(0,\infty ).$$ R + : = ( 0 , ∞ ) . We prove that the corresponding stationary solutions of the small amplitude to the inflow problem for the micropolar fluid model are time asymptotically stable under small $$H^{1}$$...
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