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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

Published: 24 June 2010

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.