engleski

Hoelder continuous solution for spherically symmetric 3-D model of a compressible viscous micropolar fluid

We consider the nonstationary 3-D flow of a compressible viscous and heat-conducting micropolar fluid, that is in the thermodynamical sense perfect and polytropic. The fluid domain is a subset of R^3 bounded with two concentric spheres that present the solid thermo-insulated walls. We assume that the initial data are spherically symmetric functions, and that the initial density and temperature are strictly positive. The corresponding mathematical model which is set up in the Lagrangian description has a unique generalized solution globally in time. Assuming that the initial functions are Hoelder continuous, in this work we prove that the state function is Hoelder continuous for any T>0.

micropolar fluid ; spherical symmetry ; Hoelder continuity ; regularity of the solution

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