engleski

3-D flow of a compressible viscous micropolar fluid with spherical symmetry: stabilization and regularity of the solution

We consider nonstationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain to be the subset of R^3 bounded with two concentric spheres that present the solid thermoinsulated walls. In thermodynamical sense fluid is perfect and polytropic. Assuming that the initial density and temperature are strictly positive we know that for smooth enough spherically symmetric initial data there exists a unique spherically symmetric generalized solution globally in time. In this talk we will present some new results concerning the described model, particularly the stabilization theorem (large time behavior of the solution) and regularity theorem.

micropolar fluid ; regularity ; stabilization of the solution

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