  In this paper, we study the asymptotic behavior of solutions to the initial
boundary value problem for the one-dimensional compressible isentropic
micropolar fluid model in a half line \mathbb{R}_{+}:=(0,\infty). We mainly
investigates the unique existence, the asymptotic stability and convergence
rates of stationary solutions to the outflow problem for this model. We obtain
the convergence rates of global solutions towards corresponding stationary
solutions if the initial perturbation belongs to the weighted Sobolev space.
The proof is based on the weighted energy method by taking into account the
effect of the microrotational velocity on the viscous compressible fluid.

Analysis of PDEs