A shear flow problem for compressible viscous micropolar fluid: Uniqueness of a generalized solution

摘要

In this paper, we consider the nonstationary shear flow of a compressible, viscous, and heat-conducting micropolar fluid. The mathematical model is set up in Lagrangian description in the form of initial-boundary problem with inhomogeneous boundary conditions for velocity and standard homogeneous boundary conditions for microrotation and heat flux. Under the assumptions that this problem has a generalized solution and that the initial mass density, temperature, the velocity, and microrotation vectors are smooth enough functions, we prove that this solution is unique.