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

Boundary Value Problems20102010:796065

DOI: 10.1155/2010/796065

Received: 8 November 2009

Accepted: 1 June 2010

Published: 24 June 2010


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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Authors’ Affiliations

Department of Mathematics, University of Rijeka


© Nermina Mujaković. 2010

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