CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCES

【摘要】 For the viscous and heat-conductive fluids governed by the compressible NavierStokes 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.更多还原

【Abstract】 For the viscous and heat-conductive fluids governed by the compressible NavierStokes 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.更多还原