engleski

Local existence of the generalized solution for three-dimensional compressible viscous flow of micropolar fluid with cylindrical symmetry

We consider the nonstationary 3-D flow of a compressible and viscous heat-conducting micropolar fluid in the domain that is the subset of R^3 bounded with two coaxial cylinders that present solid thermoinsulated walls. In the thermodynamical sense the fluid is perfect and polytropic. Assuming that the initial density and temperature are strictly positive we prove that for the smooth enough cylindrically symmetric initial data there exists a cylindrically symmetric generalized solution locally in time.

micropolar fluid ; generalized solution ; cylindrical symmetry ; weak and strong convergence

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