engleski

3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry: uniqueness of the solution

In this work we analyse the system of eight partial differential equations which present the model for nonstationary 3-D flow of a compressible viscous and heat-conducting micropolar fluid under the assumptions of cylindrical symmetry. We introduced the homogeneous boundary conditions for velocity, microrotation velocity and heat flux as well as cylindrically symmetric and smooth enough initial data. We also assume that the fluid is in thermodynamical sense perfect and polytropic. If we assume that initial density and temperature are strictly positive, we know that the generalized solution to the described problem exists locally in time. In this work we analyse the problem in Lagrangian setting and prove that the corresponding generalized solution is unique.

micropolar fluid; cylindrical symmetry; uniqueness of the solution

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