ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R^3  

作　　者：吴云顺 谭忠 

机构地区：[1]School of Mathematical Sciences,Xiamen University [2]School of Mathematics and Computer Science,Guizhou Normal University

出　　处：《Acta Mathematica Scientia》2015年第3期746-760,共15页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China(11271305,11161011);Science and Technology Foundation of Guizhou Province of China(LKS[2012]11,LKS[2013]03,LKS[2013]05)

摘　　要：We consider the Stokes approximation equations for compressible flows in /~3. The global unique solution and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a constant state is small. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. As an imme- diate byproduct, the usual Lp - L2（1 〈 p 〈 2） type of the optimal decay rate follow without requiring that the Lp norm of initial data is small.We consider the Stokes approximation equations for compressible flows in /~3. The global unique solution and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a constant state is small. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. As an imme- diate byproduct, the usual Lp - L2（1 〈 p 〈 2） type of the optimal decay rate follow without requiring that the Lp norm of initial data is small.

关 键 词：Stokes approximation equations energy method optimal decay rates Sobolevinterpolation negative Sobolev space 

分 类 号：O175[理学—数学]