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 ³, 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 L_6/5.