%A 高俊培, 崔海波 %T LARGE-TIME BEHAVIOR OF SOLUTIONS TO THE INFLOW PROBLEM OF THE NON-ISENTROPIC MICROPOLAR FLUID MODEL %0 Journal Article %D 2021 %J 数学物理学报(英文版) %R 10.1007/s10473-021-0410-z %P 1169-1195 %V 41 %N 4 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_16473.shtml} %8 2021-08-25 %X We investigate the asymptotic behavior of solutions to the initial boundary value problem for the micropolar fluid model in a half line $\mathbb{R}_{+}:=(0,\infty).$ Inspired by the relationship between a micropolar fluid model and Navier-Stokes equations, we prove that the composite wave consisting of the transonic boundary layer solution, the 1-rarefaction wave, the viscous 2-contact wave and the 3-rarefaction wave for the inflow problem on the micropolar fluid model is time-asymptotically stable under some smallness conditions. Meanwhile, we obtain the global existence of solutions based on the basic energy method.