engleski

One-dimensional compressible viscous micropolar fluid model: stabilization of the solution for the Cauchy problem

We consider the Cauchy problem for non-stationary 1-D 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 ${; ; ; ; \bf{; ; ; ; R}; ; ; ; }; ; ; ; \times]0, T[$ for each $T>0$. Supposing that the initial functions are small perturbations of the constants we derive a priori estimates for the solution independent of $T$, which we use in proving of the stabilization of the solution.

micropolar fluid; the Cauchy problem; stabilization; convergence

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