Homogeneous Boundary Problem for the Compressible Viscous and Heat-Conducting Micropolar Fluid Model with Cylindrical Symmetry

Abstract

We consider nonstationary 3-D flow of a compressible viscous and heat-conducting micropolar fluid which is in the thermodynamical sense perfect and polytropic. We analyze the problem on the domain that is bounded by two coaxial cylinders which present solid thermo-insulated walls. Therefore we assume the cylindrical symmetry of the solution. In this work we present the existence and uniqueness results for corresponding problem with homogeneous boundary data for velocity, microrotation and heat flux, under the additional assumption that the initial density and initial temperature are strictly positive.