The Incompressible Limits of Compressible Navier-Stokes Equations in the Whole Space with General Initial Data  

作　　者：Ling HSIAO Qiangchang JU Fucai LI 

机构地区：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China [2]Institute of Applied Physics and Computational Mathematics, PO Box 8009-28, Beijing 100088, China [3]Department of Mathematics, Nanjing University, Nanjing 210093, China

出　　处：《Chinese Annals of Mathematics,Series B》2009年第1期17-26,共10页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 10431060, 10701011,10501047) ;the Nanjing University Talent Development Foundation

摘　　要：It is showed that, as the Mach number goes to zero, the weak solution of the compressible Navier-Stokes equations in the whole space with general initial data converges to the strong solution of the incompressible Navier-Stokes equations as long as the later exists. The proof of the result relies on the new modulated energy functional and the Strichartz's estimate of linear wave equation.

关 键 词：Compressible Navier-Stokes equations Incompressible Navier-Stokes equations Low Mach number limit Modulated energy functional Strichartz＇s estimate 

分 类 号：O17[理学—数学]