Convergence rates for the compressible Navier-Stokes equations with general forces

For the viscous and heat-conductive fluids governed by the compressible Navier-Stokes equations with external force of general form in ℝ3, there exist nontrivial stationary solutions provided the external forces are small in suitable norms, which was studied in article [15], and there we also proved the global in time stability of the stationary solutions with respect to initial data in H3-framework. In this article, the authors investigate the rates of convergence of nonstationary solutions to the corresponding stationary solutions when the initial data are small in H3 and bounded in L6/5.