Boundary Value Problems
Volume 2010 (2010), Article ID 796065, 21 pages
Research Article

One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem

Department of Mathematics, University of Rijeka, Omladinska 14, 51000 Rijeka, Croatia

Received 8 November 2009; Revised 24 May 2010; Accepted 1 June 2010

Academic Editor: Salim Messaoudi

Copyright © 2010 Nermina Mujaković. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the Cauchy problem for nonstationary 1D flow of a compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamical sense perfect and polytropic. This problem has a unique generalized solution on R×]0,T[ for each T>0. Supposing that the initial functions are small perturbations of the constants we derive a priori estimates for the solution independent of T, which we use in proving of the stabilization of the solution.