engleski

3-D flow of a compressible viscous micropolar fluid with spherical symmetry : a global existence theorem

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. If we assume that the initial density and temperature are strictly positive and that the initial data are sufficiently smooth spherically symmetric functions then our problem has a unique generalized solution for the sufficiently small time interval. We study the problem in the Lagrangian description and prove the existence of its generalized solution on the interval [0, T], for arbitrary T>0.

micropolar fluid; spherical symmetry; generalized solution; continuation principle; global solution

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