The Cauchy problem for a 1D compressible viscous micropolar fluid model: Analysis of the stabilization and the regularity

In this paper, we first prove the global existence and asymptotic behavior of H1H1 solutions to the Cauchy problem of a one-dimensional viscous heat-conductive micropolar fluid model for the weighted small initial data. We then obtain the global existence of HiHi solutions (i=2,4) and their asymptotic behavior for the system.