Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity  

作　　者：Guilong GUI Ping ZHANG 

机构地区：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China.

出　　处：《Chinese Annals of Mathematics,Series B》2009年第5期607-630,共24页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.10525101,10421101);the 973 project of the Ministry of Science and Technology of China;the innovation grant from Chinese Academy of Sciences

摘　　要：Under the assumptions that the initial density ρ0 is close enough to 1 and ρ0-1∈Hs+1(R2);u0∈Hs(R2)∩H_∈(R2) for s>2 and 0<ε<1;the authors prove the global existence and uniqueness of smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with the viscous coefficient depending on the density of the fluid.Furthermore,the L2 decay rate of the velocity field is obtained.

关 键 词：Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Global smooth solutions 

分 类 号：O357.1[理学—流体力学] Q959.21[理学—力学]