engleski

Global existence theorem for 3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry

We consider nonstationary 3-D flow of a compressible viscous and heat-conducting micropolar fluid in the domain to be the subset of R3 R3 bounded with two coaxial cylinders that present the solid thermoinsulated walls. In the thermodynamical sense fluid is perfect and polytropic. We also assume that the initial density and temperature are strictly positive, as well as that initial data are only radially dependent. We know that corresponding homogeneous initial-boundary problem has a unique generalized solution locally in time. In this work, with the help of derived a priori estimates, we prove that the generalized solution exists globally in time as well.

micropolar fluid ; cylindrical symmetry ; global existence

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