Global existence and convergence rates for the 3-D compressible micropolar equations without heat conductivity

Abstract

ABSTRACT In this paper, the 3-D full compressible micropolar fluid with positive constant viscosity but with zero heat conductivity is considered. Global well-posedness and optimal convergence rates are established for any small initial data and bounded -norm by combining the local existence and a priori estimates. A priori decay-in-time estimates on the pressure and velocity are used to get the uniform bound of entropy.