The existence of a global solution for one dimensional compressible viscous micropolar fluid with non-homogeneous boundary conditions for temperature

摘要

We consider non-stationary 1-D flow of a compressible viscous heat-conducting micropolar fluid, assuming that it is in the thermodynamical sense perfect and polytropic. The homogeneous boundary conditions for velocity and microrotation, as well as nonhomogeneous boundary conditions for temperature are introduced. This problem has a unique generalized solution locally in time. With the help of this result and using the principle of extension we prove a global-in-time existence theorem.