engleski

Three-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry : a global existence theorem

In this paper we consider a nonstationary 3-D flow of a compressible viscous and heat- conducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. The fluid domain is a subset of $\mathbf{; ; ; ; ; R}; ; ; ; ; ^3$ bounded with two coaxial cylinders that present solid thermoinsulated walls. The mathematical model is set up in Lagrangian description. If we assume that the initial mass density, temperature, as well as the velocity and microrotation vectors are smooth enough cylindrically symmetric functions, then our problem has a generalized cylindrically symmetric solution for a sufficiently small time interval. Here we prove that the generalized solution exists globaly in time.

micropolar fluid ; generalized solution ; cylindrical symmetry ; global existence

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