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

作　　者：钱建贞 尹慧 

机构地区：[1]School of Mathematical Sciences, Peking University [2]School of Mathematics and Statistics, Huazhong University of Science and Technology

出　　处：《Acta Mathematica Scientia》2009年第5期1351-1365,共15页数学物理学报（B辑英文版）

基　　金：Sponsored by National Natural Science Foundation of China (10431060, 10329101)

摘　　要：For the viscous and heat-conductive fluids governed by the compressible Navier- Stokes equations with external force of general form in R^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 H^3-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 H^3 and bounded in L6/5.For the viscous and heat-conductive fluids governed by the compressible Navier- Stokes equations with external force of general form in R^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 H^3-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 H^3 and bounded in L6/5.

关 键 词：compressible Navier-Stokes equation nonstationary solution convergence rate general external force 

分 类 号：O175.24[理学—数学]