Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model

This paper is concerned with a one-dimensional compressible micropolar fluid model with initial data whose behaviors at far fields x→±∞ are different. Motivated by the relationship between micropolar fluid model and Navier-Stokes system, we can prove that the solutions to the one-dimensional compressible micropolar fluid model tend time-asymptotically to a viscous contact wave which is constructed from a contact discontinuity solution of the Riemann problem on Euler system. This result is proved by an elaborate elementary energy estimates.