engleski

3-D flow of a compressible viscous micropolar fluid with spherical symmetry: uniqueness of a generalized 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 fuid is perfect and polytropic. If we assume that the initial density and temperature are strictly positive and that the initial data are sufciently smooth spherically symmetric functions then our problem has a generalized solution for the suciently small time interval. We study the problem in the Lagrangian description and prove the uniqueness of its generalized solution.

micropolar fluid ; spherical symmetry ; generalized solution ; uniqueness

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