Open Access Research Article

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

Nermina Mujaković

Author Affiliations

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

Boundary Value Problems 2010, 2010:796065  doi:10.1155/2010/796065


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Received:8 November 2009
Revisions received:24 May 2010
Accepted:1 June 2010
Published:24 June 2010

© 2010 The Author(s).

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.

Abstract

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 for each . Supposing that the initial functions are small perturbations of the constants we derive a priori estimates for the solution independent of , which we use in proving of the stabilization of the solution.

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