Exponential stability for a one-dimensional compressible viscous micropolar fluid

In this paper, we consider one-dimensional compressible viscous and heat-conducting micropolar fluid, being in a thermodynamical sense perfect and polytropic. The homogenous boundary conditions for velocity, microrotation, and temperature are introduced. This problem has a global solution with a priori estimates independent of time; with the help of this result, we first prove the exponential stability of solution in (H-1(0, 1))(4), and then we establish the global existence and exponential stability of solutions in (H-2(0, 1))(4) under the suitable assumptions for initial data. The results in this paper improve those previously related results. Copyright (C) 2015 JohnWiley & Sons, Ltd.