One-Dimensional Flow of a Compressible Viscous Micropolar Fluid: Stabilization of the Solution

An initial-boundary value problem for one-dimensional flow of a compressible viscous heat-conducting micropolar fluid is considered. It is assumed that the fluid is thermodynamically perfect and polytropic. This problem has a unique strong solution on ]0, 1[×]0, T[, for each T > 0 ([7]). We also have some estimations of the solution independent of T ([8]). Using these results we prove a stabilization of the solution.