Non-homogeneous Boundary Problems for One-Dimensional Flow of the Compressible Viscous and Heat-Conducting Micropolar Fluid

Abstract

We consider nonstationary 1-D flow of a compressible viscous and heat-conducting micropolar fluid which is in the thermodynamical sense perfect and polytropic.In the first part of the work we present corresponding initial-boundary value problems whereby we allow non-homogeneous boundary conditions for velocity, microrotation or temperature.In the second part of the work we present existence results for described problems under the additional assumption that the initial density and initial temperature are strictly positive.