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