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  • Research Article
  • Open Access

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

Boundary Value Problems20102010:796065

https://doi.org/10.1155/2010/796065

  • Received: 8 November 2009
  • Accepted: 1 June 2010
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Cauchy Problem
  • Functional Equation

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Authors’ Affiliations

(1)
Department of Mathematics, University of Rijeka, Omladinska 14, 51000 Rijeka, Croatia

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