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Compressible viscous and heat-conducting micropolar fluid model with spherical and cylindrical symmetry

We consider nonstationary 3-D flow of a compressible viscous and heatconducting micropolar fluid which is in the hermodynamical sense perfect and polytropic. We analyze the problem on two domains. The first domain is bounded with two concentric spheres and the second one with two coaxial cylinders that present solid thermo-insulated walls. Therefore we assume the spherical symmetry of the solution in the first case, and cylindrical symmetry of the solution in the second case. In this work we present the existence and uniqueness theorems for corresponding problems with homogeneous boundary data for velocity, microrotation and heat flux.

micropolar fluid, spherical symmetry, cylindrical symmetry

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